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Volumn 45, Issue 10, 2004, Pages 3930-3948

Frobenius monads and pseudomonoids

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EID: 9944254586     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1788852     Document Type: Review
Times cited : (90)

References (45)
  • 1
    • 9944251549 scopus 로고    scopus 로고
    • Baez, John, (http://math.ucr.edu/home/baez/).
    • Baez, J.1
  • 2
    • 0842316410 scopus 로고
    • *-Autonomous categories, with an appendix by Po Hsiang Chu
    • Springer, Berlin
    • Barr, M., "*-Autonomous categories, with an appendix by Po Hsiang Chu," Lecture Notes in Mathematics (Springer, Berlin, 1979), Vol. 752.
    • (1979) Lecture Notes in Mathematics , vol.752
    • Barr, M.1
  • 3
    • 0029637515 scopus 로고
    • Nonsymmetric *-autonomous categories
    • Barr, M., "Nonsymmetric *-autonomous categories," Theor. Comput. Sci. 139, 115-130 (1995).
    • (1995) Theor. Comput. Sci. , vol.139 , pp. 115-130
    • Barr, M.1
  • 4
    • 0342497108 scopus 로고    scopus 로고
    • The Chu construction
    • Barr, M., "The Chu construction," Theory Appl. Categ. 2, 17-35 (1996).
    • (1996) Theory Appl. Categ. , vol.2 , pp. 17-35
    • Barr, M.1
  • 5
    • 21444457888 scopus 로고    scopus 로고
    • Invariants of piecewise-linear 3-manifolds
    • Barrett, J.W., and Westbury, B.W., "Invariants of piecewise-linear 3-manifolds," Trans. Am. Math. Soc. 348, 3997-4022 (1996).
    • (1996) Trans. Am. Math. Soc. , vol.348 , pp. 3997-4022
    • Barrett, J.W.1    Westbury, B.W.2
  • 6
    • 0033541888 scopus 로고    scopus 로고
    • Spherical categories
    • Barrett, J.W. and Westbury, B.W., "Spherical categories," Adv. Math. 143, 357-375 (1999).
    • (1999) Adv. Math. , vol.143 , pp. 357-375
    • Barrett, J.W.1    Westbury, B.W.2
  • 7
    • 9944236951 scopus 로고    scopus 로고
    • Triples, algebras and cohomology
    • Beck, Jonathon, "Triples, algebras and cohomology," Rep. Theory Appl. Categ. No. 2, 1-59 (2003).
    • (2003) Rep. Theory Appl. Categ. No. 2 , vol.2 , pp. 1-59
    • Beck, J.1
  • 8
    • 0002831987 scopus 로고
    • Introduction to bicategories
    • Springer, Berlin
    • Bénabou, J., "Introduction to bicategories," Lecture Notes in Math (Springer, Berlin, 1967), Vol. 47, pp. 1-77.
    • (1967) Lecture Notes in Math , vol.47 , pp. 1-77
    • Bénabou, J.1
  • 9
    • 0041805735 scopus 로고    scopus 로고
    • Militaru's D-equation in monoidal categories
    • Bichon, Julien and Street, Ross, "Militaru's D-equation in monoidal categories," Appl. Categ. Struct. 11, 337-357 (2003).
    • (2003) Appl. Categ. Struct. , vol.11 , pp. 337-357
    • Bichon, J.1    Street, R.2
  • 11
    • 0001482288 scopus 로고
    • Matrices, relations and group representations
    • Carboni, Aurelio, "Matrices, relations and group representations," J. Algebra 136, 497-529 (1991).
    • (1991) J. Algebra , vol.136 , pp. 497-529
    • Carboni, A.1
  • 13
    • 0004284245 scopus 로고
    • Ph.D. thesis, University of Cambridge
    • Carmody, Sean, "Cobordism categories," Ph.D. thesis, University of Cambridge, 1995.
    • (1995) Cobordism Categories
    • Carmody, S.1
  • 14
    • 0002234303 scopus 로고
    • On closed categories of functors
    • Springer, Berlin
    • Day, B.J., "On closed categories of functors," Lecture Notes in Math (Springer, Berlin, 1970), Vol. 137, pp. 1-38.
    • (1970) Lecture Notes in Math , vol.137 , pp. 1-38
    • Day, B.J.1
  • 16
    • 0031571058 scopus 로고    scopus 로고
    • Monoidal bicategories and Hopf algebroids
    • Day, Brian and Street, Ross, "Monoidal bicategories and Hopf algebroids," Adv. Math. 129, 99-157 (1997).
    • (1997) Adv. Math. , vol.129 , pp. 99-157
    • Day, B.1    Street, R.2
  • 17
    • 33646413494 scopus 로고    scopus 로고
    • Quantum categories, star autonomy, and quantum groupoids
    • "Galois Theory, Hopf Algebras, and Semiabelian Categories,"
    • Day, Brian and Street, Ross, Quantum categories, star autonomy, and quantum groupoids, in "Galois Theory, Hopf Algebras, and Semiabelian Categories," Fields Inst. Commun. 43, 193-231 (2004).
    • (2004) Fields Inst. Commun. , vol.43 , pp. 193-231
    • Day, B.1    Street, R.2
  • 18
    • 0000805004 scopus 로고
    • Quasi-Hopf algebras
    • Drinfel'd, V.G., "Quasi-Hopf algebras" Algebra Anal. 1, 114-148 (1989) [Leningrad Math. J. 1, 1419-1457 (1990)].
    • (1989) Algebra Anal. , vol.1 , pp. 114-148
    • Drinfel'd, V.G.1
  • 19
    • 0000805003 scopus 로고
    • Drinfel'd, V.G., "Quasi-Hopf algebras" Algebra Anal. 1, 114-148 (1989) [Leningrad Math. J. 1, 1419-1457 (1990)].
    • (1990) Leningrad Math. J. , vol.1 , pp. 1419-1457
  • 20
    • 84972525391 scopus 로고
    • Adjoint functors and triples
    • Eilenberg, Samuel and Moore, John C., "Adjoint functors and triples," Ill. J. Math. 9, 381-398 (1965).
    • (1965) Ill. J. Math. , vol.9 , pp. 381-398
    • Eilenberg, S.1    Moore, J.C.2
  • 22
    • 38249026156 scopus 로고
    • Monoidal Monta equivalence
    • Johnson, S.R., "Monoidal Monta equivalence," J. Pure Appl. Algebra 59, 169-177 (1989(a)).
    • (1989) J. Pure Appl. Algebra , vol.59 , pp. 169-177
    • Johnson, S.R.1
  • 23
    • 38249025522 scopus 로고
    • Small Cauchy completions
    • Johnson, S.R., "Small Cauchy completions," J. Pure Appl. Algebra 62, 35-45 (1989(b)).
    • (1989) J. Pure Appl. Algebra , vol.62 , pp. 35-45
    • Johnson, S.R.1
  • 24
    • 44949283969 scopus 로고
    • The geometry of tensor calculus I
    • Joyal, André and Street, Ross, "The geometry of tensor calculus I," Adv. Math. 88, 55-112 (1991).
    • (1991) Adv. Math. , vol.88 , pp. 55-112
    • Joyal, A.1    Street, R.2
  • 25
    • 0003075540 scopus 로고
    • Tortile Yang-Baxter operators in tensor categories
    • Joyal, André and Street, Ross, "Tortile Yang-Baxter operators in tensor categories," J. Pure Appl. Algebra 71, 43-51 (1991).
    • (1991) J. Pure Appl. Algebra , vol.71 , pp. 43-51
    • Joyal, A.1    Street, R.2
  • 26
    • 0000215959 scopus 로고
    • An introduction to tannaka duality and quantum groups
    • Springer-Verlag, Berlin
    • Joyal, André and Street, Ross, An Introduction to Tannaka Duality and Quantum Groups, Lecture Notes in Mathematics (Springer-Verlag, Berlin, 1991), Vol. 1488, pp. 411-492.
    • (1991) Lecture Notes in Mathematics , vol.1488 , pp. 411-492
    • Joyal, A.1    Street, R.2
  • 27
    • 0003356644 scopus 로고
    • Quantum groups
    • Springer-Verlag, Berlin
    • Kassel, Christian, Quantum Groups, Graduate Texts in Math (Springer-Verlag, Berlin, 1995), Vol. 155.
    • (1995) Graduate Texts in Math , vol.155
    • Kassel, C.1
  • 28
    • 0003233346 scopus 로고
    • Basic concepts of enriched category theory
    • Cambridge University Press, Cambridge
    • Kelly, G.M., Basic Concepts of Enriched Category Theory, London Math. Soc. Lecture Notes Series (Cambridge University Press, Cambridge 1982), Vol. 64.
    • (1982) London Math. Soc. Lecture Notes Series , vol.64
    • Kelly, G.M.1
  • 29
    • 0001105583 scopus 로고
    • Review of the elements of 2-categories
    • Kelly, G.M. and Street, Ross, "Review of the elements of 2-categories," Lect. Notes Math. 420, 75-103 (1974).
    • (1974) Lect. Notes Math. , vol.420 , pp. 75-103
    • Kelly, G.M.1    Street, R.2
  • 30
    • 2942736912 scopus 로고    scopus 로고
    • Non-semisimple topological quantum field theories for 3-manifolds with corners
    • Springer, Berlin
    • Kerler, Thomas and Lyubashenko, Volodymyr L., Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners, Lecture Notes in Mathematics (Springer, Berlin, 2001), Vol. 1765.
    • (2001) Lecture Notes in Mathematics , vol.1765
    • Kerler, T.1    Lyubashenko, V.L.2
  • 31
    • 14844291092 scopus 로고    scopus 로고
    • Frobenius algebras and 2D topological quantum field theories
    • Cambridge University Press, Cambridge
    • Kock, Joachim, Frobenius Algebras and 2D Topological Quantum Field Theories, London Math. Soc. Student Texts (Cambridge University Press, Cambridge, 2003), Vol. 59.
    • (2003) London Math. Soc. Student Texts , vol.59
    • Kock, J.1
  • 32
    • 0037044684 scopus 로고    scopus 로고
    • The formal theory of monads II
    • Lack, Stephen and Street, Ross, "The formal theory of monads II," J. Pure Appl. Algebra 175, 243-265 (2002).
    • (2002) J. Pure Appl. Algebra , vol.175 , pp. 243-265
    • Lack, S.1    Street, R.2
  • 33
    • 0002829606 scopus 로고
    • An associative orthogonal bilinear form for Hopf algebras
    • Larson, R.G. and Sweedler, M.E., "An associative orthogonal bilinear form for Hopf algebras," Am. J. Math. 91, 75-94 (1969).
    • (1969) Am. J. Math. , vol.91 , pp. 75-94
    • Larson, R.G.1    Sweedler, M.E.2
  • 34
    • 0002227379 scopus 로고
    • Ordinal sums and equational doctrines
    • Seminar on Triples and Categorical Homology Theory
    • Lawvere, F.W., "Ordinal sums and equational doctrines," in Seminar on Triples and Categorical Homology Theory, Lect. Notes Math. 80, 141-155 (1969).
    • (1969) Lect. Notes Math. , vol.80 , pp. 141-155
    • Lawvere, F.W.1
  • 35
    • 27844512844 scopus 로고
    • Metric spaces, generalized logic, and closed categories
    • Lawvere, F.W., "Metric spaces, generalized logic, and closed categories," Rend. Semin. Mat. Fis. Milano 43, 135-166 (1974).
    • (1974) Rend. Semin. Mat. Fis. Milano , vol.43 , pp. 135-166
    • Lawvere, F.W.1
  • 36
    • 0003356530 scopus 로고
    • Categories for the Working Mathematician
    • Springer-Verlag, Berlin
    • MacLane, S., Categories for the Working Mathematician, Graduate Texts in Math (Springer-Verlag, Berlin, 1971), Vol. 5.
    • (1971) Graduate Texts in Math , vol.5
    • MacLane, S.1
  • 39
    • 0037400955 scopus 로고    scopus 로고
    • From subfactors to categories and topology. I: Frobenius algebras in and Morita equivalence of tensor categories
    • Müger, Michael, "From subfactors to categories and topology. I: Frobenius algebras in and Morita equivalence of tensor categories," J. Pure Appl. Algebra 180, 81-157 (2003a).
    • (2003) J. Pure Appl. Algebra , vol.180 , pp. 81-157
    • Müger, M.1
  • 40
    • 0037400855 scopus 로고    scopus 로고
    • From subfactors to categories and topology. II: The quantum double of tensor categories and subfactors
    • Müger, Michael, "From subfactors to categories and topology. II: The quantum double of tensor categories and subfactors," J. Pure Appl. Algebra 180, 159-219 (2003b).
    • (2003) J. Pure Appl. Algebra , vol.180 , pp. 159-219
    • Müger, M.1
  • 41
    • 0000447203 scopus 로고
    • The formal theory of monads
    • Street, Ross, "The formal theory of monads," J. Pure Appl. Algebra 2, 149-168 (1972).
    • (1972) J. Pure Appl. Algebra , vol.2 , pp. 149-168
    • Street, R.1
  • 42
    • 84952249589 scopus 로고
    • Enriched categories and cohomology
    • Street, Ross, "Enriched categories and cohomology," Quaest. Math. 6, 265-283 (1983).
    • (1983) Quaest. Math. , vol.6 , pp. 265-283
    • Street, R.1
  • 43
    • 0001340285 scopus 로고
    • Absolute colimits in enriched categories
    • Street, Ross, "Absolute colimits in enriched categories," Cah. Topol. Geom. Differ. 24, 377-379 (1983).
    • (1983) Cah. Topol. Geom. Differ. , vol.24 , pp. 377-379
    • Street, R.1
  • 44
    • 0003187995 scopus 로고
    • Higher categories, strings, cubes and simplex equations
    • Street, Ross, "Higher categories, strings, cubes and simplex equations," Appl. Categ. Struct. 3, 29-77 (1995); 3, 303 (1995).
    • (1995) Appl. Categ. Struct. , vol.3 , pp. 29-77
    • Street, R.1
  • 45
    • 0003187995 scopus 로고
    • Street, Ross, "Higher categories, strings, cubes and simplex equations," Appl. Categ. Struct. 3, 29-77 (1995); 3, 303 (1995).
    • (1995) Appl. Categ. Struct. , vol.3 , pp. 303


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