-
1
-
-
0040519930
-
Prepoisson algebras
-
Aguiar, M.: Prepoisson algebras. Lett. Math. Phys. 54(4), 263-277 (2000)
-
(2000)
Lett. Math. Phys.
, vol.54
, Issue.4
, pp. 263-277
-
-
Aguiar, M.1
-
2
-
-
33747878960
-
Combinatorial Hopf algebras and generalized Dehn-Sommerville relations
-
Aguiar, M., Bergeron, N., Sottile, F.: Combinatorial Hopf algebras and generalized Dehn-Sommerville relations. Comp. Math. 142, 1-30 (2006)
-
(2006)
Comp. Math.
, vol.142
, pp. 1-30
-
-
Aguiar, M.1
Bergeron, N.2
Sottile, F.3
-
3
-
-
0042725085
-
Some aspects of Baxter's functional equation
-
Atkinson, F.V.: Some aspects of Baxter's functional equation. J. Math. Anal. Appl. 7, 1-30 (1963)
-
(1963)
J. Math. Anal. Appl.
, vol.7
, pp. 1-30
-
-
Atkinson, F.V.1
-
5
-
-
0034658806
-
Factorization of formal exponentials and uniformization
-
Barron, K., Huang, Y., Lepowsky, J.: Factorization of formal exponentials and uniformization. J. Algebra. 228, 551-579 (2000)
-
(2000)
J. Algebra
, vol.228
, pp. 551-579
-
-
Barron, K.1
Huang, Y.2
Lepowsky, J.3
-
6
-
-
84972511438
-
An analytic problem whose solution follows from a simple algebraic identity
-
Baxter, G.: An analytic problem whose solution follows from a simple algebraic identity. Pacific J. Math. 10, 731-742 (1960)
-
(1960)
Pacific J. Math.
, vol.10
, pp. 731-742
-
-
Baxter, G.1
-
7
-
-
34250152335
-
Solutions of the classical Yang-Baxter equation for simple Lie algebras
-
Belavin, A.A., Drinfeld, V.G.: Solutions of the classical Yang-Baxter equation for simple Lie algebras. Funct. Anal. Appl. 16, 159-180 (1982)
-
(1982)
Funct. Anal. Appl.
, vol.16
, pp. 159-180
-
-
Belavin, A.A.1
Drinfeld, V.G.2
-
8
-
-
0141562414
-
On the multiplication of causal functions in the quantum theory of fields
-
Bogoliubov, N.N., Parasiuk, O.S.: On the multiplication of causal functions in the quantum theory of fields. Acta Math. 97, 227-266 (1957)
-
(1957)
Acta Math.
, vol.97
, pp. 227-266
-
-
Bogoliubov, N.N.1
Parasiuk, O.S.2
-
9
-
-
0000861949
-
On the structure of free Baxter algebras
-
Cartier, P.: On the structure of free Baxter algebras. Advances in Math. 9, 253-265 (1972)
-
(1972)
Advances in Math.
, vol.9
, pp. 253-265
-
-
Cartier, P.1
-
10
-
-
0032257297
-
Hopf algebras, Renormalization and noncommutative geometry
-
Connes, A., Kreimer, D.: Hopf algebras, Renormalization and noncommutative geometry. Commun Math. Phys. 199, 203-242 (1998)
-
(1998)
Commun Math. Phys.
, vol.199
, pp. 203-242
-
-
Connes, A.1
Kreimer, D.2
-
11
-
-
0034349865
-
Renormalization in quantum field theory and the Riemann-Hilbert problem. I. The Hopf algebra structure of graphs and the main theorem
-
Connes, A., Kreimer, D.: Renormalization in quantum field theory and the Riemann-Hilbert problem. I. The Hopf algebra structure of graphs and the main theorem. Commun. Math. Phys. 210(1), 249-273 (2000)
-
(2000)
Commun. Math. Phys.
, vol.210
, Issue.1
, pp. 249-273
-
-
Connes, A.1
Kreimer, D.2
-
12
-
-
0035530562
-
Renormalization in quantum field theory and the Riemann-Hilbert problem. II. The β-function, diffeomorphisms and the renormalization group
-
Connes, A., Kreimer, D.: Renormalization in quantum field theory and the Riemann-Hilbert problem. II. The β-function, diffeomorphisms and the renormalization group. Commun. Math. Phys. 216, 215-241 (2001)
-
(2001)
Commun. Math. Phys.
, vol.216
, pp. 215-241
-
-
Connes, A.1
Kreimer, D.2
-
14
-
-
9944236213
-
Spitzer's identity and the algebraic Birkhoff decomposition in pQFT
-
Ebrahimi-Fard, K., Guo, L., Kreimer, D.: Spitzer's identity and the algebraic Birkhoff decomposition in pQFT. J. Phys. A: Math. Gen. 37, 11037-11052 (2004)
-
(2004)
J. Phys. A: Math. Gen.
, vol.37
, pp. 11037-11052
-
-
Ebrahimi-Fard, K.1
Guo, L.2
Kreimer, D.3
-
15
-
-
18244401353
-
Integrable renormalization II: The general case
-
Ebrahimi-Fard, K., Guo, L., Kreimer, D.: Integrable renormalization II: the general case. Ann. H. Poincaré. 6, 369-395 (2005)
-
(2005)
Ann. H. Poincaré
, vol.6
, pp. 369-395
-
-
Ebrahimi-Fard, K.1
Guo, L.2
Kreimer, D.3
-
16
-
-
29344432590
-
Combinatorics of renormalization as matrix calculus
-
Ebrahimi-Fard, K., Gracia-Bondía, J.M., Guo, L., Várilly, J.C.: Combinatorics of renormalization as matrix calculus. Phys. Lett. B. 632(4), 552-558 (2006)
-
(2006)
Phys. Lett. B.
, vol.632
, Issue.4
, pp. 552-558
-
-
Ebrahimi-Fard, K.1
Gracia-Bondía, J.M.2
Guo, L.3
Várilly, J.C.4
-
18
-
-
28844481081
-
Hopf algebra approach to Feynman diagram calculations
-
Ebrahimi-Fard, K., Kreimer, D.: Hopf algebra approach to Feynman diagram calculations. J. Phys. A: Math. Gen. 38, R385-R406 (2005)
-
(2005)
J. Phys. A: Math. Gen.
, vol.38
-
-
Ebrahimi-Fard, K.1
Kreimer, D.2
-
19
-
-
24344472627
-
Combinatorial Hopf algebras in quantum field theory I
-
Figueroa, H., Gracia-Bondía, J.M.: Combinatorial Hopf algebras in quantum field theory I. Rev. Math. Phys. 17, 881-976 (2005)
-
(2005)
Rev. Math. Phys.
, vol.17
, pp. 881-976
-
-
Figueroa, H.1
Gracia-Bondía, J.M.2
-
21
-
-
0001466639
-
Proof of the Bogoliubov-Parasiuk theorem on renormalization
-
Hepp, K.: Proof of the Bogoliubov-Parasiuk theorem on renormalization. Commun. Math. Phys. 2, 301-326 (1966)
-
(1966)
Commun. Math. Phys.
, vol.2
, pp. 301-326
-
-
Hepp, K.1
-
22
-
-
33646035766
-
On the Hopf algebra structure of perturbative quantum field theories
-
Kreimer, D.: On the Hopf algebra structure of perturbative quantum field theories. Adv. Theor. Math. Phys. 2, 303-334 (1998)
-
(1998)
Adv. Theor. Math. Phys.
, vol.2
, pp. 303-334
-
-
Kreimer, D.1
-
23
-
-
33748744827
-
Chen's iterated integral represents the operator product expansion
-
Kreimer, D.: Chen's iterated integral represents the operator product expansion. Adv. Theor. Math. Phys. 3(3), 627-670 (1999)
-
(1999)
Adv. Theor. Math. Phys.
, vol.3
, Issue.3
, pp. 627-670
-
-
Kreimer, D.1
-
24
-
-
0036239309
-
Combinatorics of (perturbative) quantum field theory
-
Kreimer, D.: Combinatorics of (perturbative) quantum field theory. Phys. Rep. 363, 387-424 (2002)
-
(2002)
Phys. Rep.
, vol.363
, pp. 387-424
-
-
Kreimer, D.1
-
25
-
-
84962994320
-
Spitzer's identity and its use in probability theory
-
Kingman, J.F.C.: Spitzer's identity and its use in probability theory. J. London Math. Soc. 37, 309-316 (1962)
-
(1962)
J. London Math. Soc.
, vol.37
, pp. 309-316
-
-
Kingman, J.F.C.1
-
26
-
-
0040049077
-
Série de hausdorff, idempotents eulériens et algèbres de hopf
-
Loday, J.-L.: Série de Hausdorff, idempotents Eulériens et algèbres de Hopf. Expo. Math. 12, 165-178 (1994)
-
(1994)
Expo. Math.
, vol.12
, pp. 165-178
-
-
Loday, J.-L.1
-
27
-
-
84940252991
-
On the exponential solution of differential equations for a linear operator
-
Magnus, W.: On the exponential solution of differential equations for a linear operator. Comm. Pure Appl. Math. 7, 649-673 (1954)
-
(1954)
Comm. Pure Appl. Math.
, vol.7
, pp. 649-673
-
-
Magnus, W.1
-
28
-
-
9944236447
-
Hopf algebras, from basics to applications to renormalization
-
Manchon, D.: Hopf algebras, from basics to applications to renormalization. In: Comptes rendus des Rencontres mathématiques de Glanon 2001, available at http://math.univ-bpclermont.fr/0107EManchon/biblio/ bogofa2002.pdf, 2006
-
(2006)
Comptes Rendus des Rencontres Mathématiques de Glanon 2001
-
-
Manchon, D.1
-
29
-
-
33748561326
-
The polar decomposition of Lie groups with involutive automorphisms
-
Dept. of Informatics, Univ. of Bergen, Norway
-
Munthe-Kaas, H.Z., Quispel, G.R.W., Zanna, A.: The polar decomposition of Lie groups with involutive automorphisms. Technical Report, 191, Dept. of Informatics, Univ. of Bergen, Norway 2000
-
(2000)
Technical Report
, vol.191
-
-
Munthe-Kaas, H.Z.1
Quispel, G.R.W.2
Zanna, A.3
-
30
-
-
0009898162
-
Generalized polar decompositions on Lie groups with involutive automorphisms
-
Munthe-Kaas, H.Z., Quispel, G.R.W., Zanna, A.: Generalized polar decompositions on Lie groups with involutive automorphisms. Found. Comput. Math. 1(3), 297-324 (2001)
-
(2001)
Found. Comput. Math.
, vol.1
, Issue.3
, pp. 297-324
-
-
Munthe-Kaas, H.Z.1
Quispel, G.R.W.2
Zanna, A.3
-
31
-
-
0036608302
-
Classical Yang-Baxter equation and the A∞-constraint
-
Polishchuk, A.: Classical Yang-Baxter equation and the A∞-constraint. Adv. Math. 158(1), 56-95 (2002)
-
(2002)
Adv. Math.
, vol.158
, Issue.1
, pp. 56-95
-
-
Polishchuk, A.1
-
33
-
-
0000087787
-
Baxter algebras and combinatorial identities. I, II
-
Rota, G.-C.: Baxter algebras and combinatorial identities. I, II. Bull. Amer. Math. Soc. 75, 325-329 (1969);
-
(1969)
Bull. Amer. Math. Soc.
, vol.75
, pp. 325-329
-
-
Rota, G.-C.1
-
34
-
-
84968481670
-
Baxter algebras and combinatorial identities. I, II
-
Rota, G.-C.: Baxter algebras and combinatorial identities. I, II. Bull. Amer. Math. Soc., ibid. 75, 330-334 (1969)
-
(1969)
Bull. Amer. Math. Soc.
, vol.75
, pp. 330-334
-
-
Rota, G.-C.1
-
35
-
-
0010145256
-
-
Istituto Nazionale di Alta Matematica
-
Rota, G.-C., Smith, D.: Fluctuation theory and Baxter algebras. Istituto Nazionale di Alta Matematica, IX, 179, (1972).
-
(1972)
Fluctuation Theory and Baxter Algebras
, vol.9
, pp. 179
-
-
Rota, G.-C.1
Smith, D.2
-
37
-
-
0010083530
-
Baxter operators, an introduction
-
J.P.S. Kung ed., Contemp. Mathematicians, Boston, MA: Birkhäuser Boston
-
Rota, G.-C.: Baxter operators, an introduction. In: Gian-Carlo Rota on Combinatorics, Introductory papers and commentaries. J.P.S. Kung ed., Contemp. Mathematicians, Boston, MA: Birkhäuser Boston, 1995
-
(1995)
Gian-Carlo Rota on Combinatorics, Introductory Papers and Commentaries
-
-
Rota, G.-C.1
-
38
-
-
0002812411
-
Ten mathematics problems I will never solve
-
Invited address, Oaxaca, Mexico, December 6, 1997. DMV Mittellungen
-
Rota, G.-C.: Ten mathematics problems I will never solve. Invited address at the joint meeting of the American Mathematical Society and the Mexican Mathematical Society, Oaxaca, Mexico, December 6, 1997. DMV Mittellungen, Heft 2, 45-52 (1998)
-
(1998)
Joint Meeting of the American Mathematical Society and the Mexican Mathematical Society
, Issue.2
, pp. 45-52
-
-
Rota, G.-C.1
-
39
-
-
33645684162
-
What is a classical r-matrix?
-
Semenov-Tian-Shansky, M.A.: What is a classical r-matrix? Funct. Anal. Appl. 17(4), 254-272 (1983)
-
(1983)
Funct. Anal. Appl.
, vol.17
, Issue.4
, pp. 254-272
-
-
Semenov-Tian-Shansky, M.A.1
-
40
-
-
18244397062
-
-
Lectures Given at the Faro International Summer School on Factorization and Integrable Systems (Sept. 2000), Basel-Boston: Birkhäuser
-
Semenov-Tian-Shansky, M.A.: Integrable systems and factorization problems. Lectures given at the Faro International Summer School on Factorization and Integrable Systems (Sept. 2000), Basel-Boston: Birkhäuser, 2003
-
(2003)
Integrable Systems and Factorization Problems
-
-
Semenov-Tian-Shansky, M.A.1
-
41
-
-
84967710276
-
A combinatorial lemma and its application to probability theory
-
Spitzer, F.: A combinatorial lemma and its application to probability theory. Trans. Amer. Math. Soc. 82, 323-339 (1956)
-
(1956)
Trans. Amer. Math. Soc.
, vol.82
, pp. 323-339
-
-
Spitzer, F.1
-
43
-
-
0010177590
-
A brief proof of a theorem of Baxter
-
Wendel, J.G.: A brief proof of a theorem of Baxter. Math. Scand. 11, 107-108 (1962)
-
(1962)
Math. Scand.
, vol.11
, pp. 107-108
-
-
Wendel, J.G.1
-
44
-
-
1642602846
-
Recurrence relations and convergence theory of the generalized polar decomposition on Lie groups
-
Zanna, A.: Recurrence relations and convergence theory of the generalized polar decomposition on Lie groups. Math. Comp. 73(246), 761-776 (2004)
-
(2004)
Math. Comp.
, vol.73
, Issue.246
, pp. 761-776
-
-
Zanna, A.1
-
45
-
-
0001447372
-
Convergence of Bogoliubov's method of renormalization in momentum space
-
Zimmermann, W.: Convergence of Bogoliubov's method of renormalization in momentum space. Commun. Math. Phys. 15, 208-234 (1969)
-
(1969)
Commun. Math. Phys.
, vol.15
, pp. 208-234
-
-
Zimmermann, W.1
|