-
1
-
-
0012674905
-
On noncrossing and nonnesting partitions for classical reflection groups
-
Research Paper 42, (electronic)
-
C. A. ATHANASIADIS, On noncrossing and nonnesting partitions for classical reflection groups, Electron. J. Combin., 5 (1998), Research Paper 42, 16 pp. (electronic).
-
(1998)
Electron. J. Combin.
, vol.5
-
-
Athanasiadis, C.A.1
-
2
-
-
2642567076
-
Generalized Catalan numbers, Weyl groups and arrangements of hyperplanes
-
C. A. ATHANASIADIS, Generalized Catalan numbers, Weyl groups and arrangements of hyperplanes, Bull. London Math. Soc., 36 (2004), pp. 294-302.
-
(2004)
Bull. London Math. Soc.
, vol.36
, pp. 294-302
-
-
Athanasiadis, C.A.1
-
3
-
-
12844277556
-
On a refinement of the generalized Catalan numbers for Weyl groups
-
C. A. ATHANASIADIS, On a refinement of the generalized Catalan numbers for Weyl groups, Trans. Amer. Math. Soc., 357 (2005), pp. 179-196.
-
(2005)
Trans. Amer. Math. Soc.
, vol.357
, pp. 179-196
-
-
Athanasiadis, C.A.1
-
5
-
-
18844451798
-
-
preprint, (arXiv:math.GR/0403400)
-
D. BESSIS AND R. CORRAN, Non-crossing partitions of type (e,e,r), preprint, 2004 (arXiv:math.GR/0403400).
-
(2004)
Non-crossing Partitions of Type (E,e,r)
-
-
Bessis, D.1
Corran, R.2
-
6
-
-
0036698115
-
Springer theory in braid groups and the Birman-Ko-Lee monoid
-
D. BESSIS, F. DIGNE, AND J. MICHEL, Springer theory in braid groups and the Birman-Ko-Lee monoid, Pacific J. Math., 205 (2002), pp. 287-309.
-
(2002)
Pacific J. Math.
, vol.205
, pp. 287-309
-
-
Bessis, D.1
Digne, F.2
Michel, J.3
-
7
-
-
0002964353
-
Some properties of crossings and partitions
-
P. BIANE, Some properties of crossings and partitions, Discrete Math., 175 (1997), pp. 41-53.
-
(1997)
Discrete Math.
, vol.175
, pp. 41-53
-
-
Biane, P.1
-
8
-
-
0344183200
-
Parking functions of types a and B
-
Note 7, (electronic)
-
P. BIANE, Parking functions of types A and B, Electron. J. Combin., 9 (2002), Note 7, 5 pp. (electronic).
-
(2002)
Electron. J. Combin.
, vol.9
-
-
Biane, P.1
-
9
-
-
0038707498
-
Non-crossing cumulants of type B
-
P. BlANE, F. GOODMAN, AND A. NiCA, Non-crossing cumulants of type B, Trans. Amer. Math. Soc., 355 (2003), pp. 2263-2303.
-
(2003)
Trans. Amer. Math. Soc.
, vol.355
, pp. 2263-2303
-
-
Blane, P.1
Goodman, F.2
Nica, A.3
-
10
-
-
33646886315
-
Shellable and cohen-macaulay partially ordered sets
-
A. BJÖRNER, Shellable and Cohen-Macaulay partially ordered sets, Trans. Amer. Math. Soc., 260 (1980), pp. 159-183.
-
(1980)
Trans. Amer. Math. Soc.
, vol.260
, pp. 159-183
-
-
Björner, A.1
-
11
-
-
0035880076
-
A partial order on the symmetric group and new K(π, 1)'s for the braid groups
-
T. BRADY, A partial order on the symmetric group and new K(π, 1)'s for the braid groups, Adv. Math., 161 (2001), pp. 20-40.
-
(2001)
Adv. Math.
, vol.161
, pp. 20-40
-
-
Brady, T.1
-
12
-
-
0036415374
-
K(π, 1)'s for Artin groups of finite type
-
Proceedings of the Conference on Geometric and Combinatorial Group Theory, Part I (Haifa, 2000)
-
T. BRADY AND C. WATT, K(π, 1)'s for Artin groups of finite type, in Proceedings of the Conference on Geometric and Combinatorial Group Theory, Part I (Haifa, 2000), Geom. Dedicata, 94 (2002), pp. 225-250.
-
(2002)
Geom. Dedicata
, vol.94
, pp. 225-250
-
-
Brady, T.1
Watt, C.2
-
13
-
-
0000266671
-
Chain enumeration and noncrossing partitions
-
P. H. EDELMAN, Chain enumeration and noncrossing partitions, Discrete Math., 31 (1980), pp. 171-180.
-
(1980)
Discrete Math.
, vol.31
, pp. 171-180
-
-
Edelman, P.H.1
-
14
-
-
0030584844
-
On posets and Hopf algebras
-
R. EHRENBORG, On posets and Hopf algebras, Adv. Math., 119 (1996), pp. 1-25.
-
(1996)
Adv. Math.
, vol.119
, pp. 1-25
-
-
Ehrenborg, R.1
-
15
-
-
0002532511
-
Reflection groups and coxeter groups
-
Cambridge University Press, Cambridge, UK
-
J. E. HUMPHREYS, Reflection Groups and Coxeter Groups, Cambridge Studies in Advanced Mathematics 29, Cambridge University Press, Cambridge, UK, 1990.
-
(1990)
Cambridge Studies in Advanced Mathematics
, vol.29
-
-
Humphreys, J.E.1
-
16
-
-
0000513203
-
Sur les partitions non-croisées d'un cycle
-
G. KREWERAS, Sur les partitions non-croisées d'un cycle, Discrete Math., 1 (1972), pp. 333-350.
-
(1972)
Discrete Math.
, vol.1
, pp. 333-350
-
-
Kreweras, G.1
-
17
-
-
18844387670
-
-
preprint, University of California-Santa Barbara, Santa Barbara, CA
-
J. MCCAMMOND, Noncrossing partitions in surprising locations, preprint, University of California-Santa Barbara, Santa Barbara, CA, 2003.
-
(2003)
Noncrossing Partitions in Surprising Locations
-
-
Mccammond, J.1
-
18
-
-
0000153674
-
A "Fourier transform" for multiplicative functions on non-crossing partitions
-
A. NICA AND R. SPEICHER, A "Fourier transform" for multiplicative functions on non-crossing partitions, J. Algebraic Combin., 6 (1997), pp. 141-160.
-
(1997)
J. Algebraic Combin.
, vol.6
, pp. 141-160
-
-
Nica, A.1
Speicher, R.2
-
19
-
-
0038730345
-
Explicit presentations for the dual braid monoids
-
M. PlCANTlN, Explicit presentations for the dual braid monoids, C. R. Math. Acad. Sci. Paris, 334 (2002), pp. 843-848.
-
(2002)
C. R. Math. Acad. Sci. Paris
, vol.334
, pp. 843-848
-
-
Plcantln, M.1
-
20
-
-
0001135742
-
Non-crossing partitions for classical reflection groups
-
V. REINER, Non-crossing partitions for classical reflection groups, Discrete Math., 177 (1997), pp. 195-222.
-
(1997)
Discrete Math.
, vol.177
, pp. 195-222
-
-
Reiner, V.1
-
21
-
-
0000790354
-
Noncrossing partitions
-
R. SIMION, Noncrossing partitions, Discrete Math., 217 (2000), pp. 367-409.
-
(2000)
Discrete Math.
, vol.217
, pp. 367-409
-
-
Simion, R.1
-
22
-
-
0002207827
-
On the structure of the lattice of non-crossing partitions
-
R. SIMION AND D. ULLMAN, On the structure of the lattice of non-crossing partitions, Discrete Math., 98 (1991), pp. 193-206.
-
(1991)
Discrete Math.
, vol.98
, pp. 193-206
-
-
Simion, R.1
Ullman, D.2
-
23
-
-
24344506697
-
B-stable ideals in the nilradical of a Borel subalgebra
-
to appear
-
E. SOMMERS, B-stable ideals in the nilradical of a Borel subalgebra, Canad. Math. Bull., to appear.
-
Canad. Math. Bull.
-
-
Sommers, E.1
-
24
-
-
0003652674
-
-
Wadsworth & Brooks/Cole Advanced Books & Software, Monterey, CA
-
R. P. STANLEY, Enumerative Combinatorics, Vol. 1, Wadsworth & Brooks/Cole Advanced Books & Software, Monterey, CA, 1986;
-
(1986)
Enumerative Combinatorics
, vol.1
-
-
Stanley, R.P.1
-
25
-
-
0003581940
-
-
second printing, Cambridge University Press, Cambridge, UK
-
second printing, Cambridge Studies in Advanced Mathematics 49, Cambridge University Press, Cambridge, UK, 1996.
-
(1996)
Cambridge Studies in Advanced Mathematics
, vol.49
-
-
-
26
-
-
0003279650
-
Enumerative combinatorics
-
Cambridge University Press, Cambridge, UK
-
R. P. STANLEY, Enumerative Combinatorics, Vol. 2, Cambridge Studies in Advanced Mathematics 62, Cambridge University Press, Cambridge, UK, 1999.
-
(1999)
Cambridge Studies in Advanced Mathematics
, vol.2-62
-
-
Stanley, R.P.1
-
27
-
-
0001783864
-
Flag-symmetric and locally rank-symmetric partially ordered sets
-
Research Paper 6, (electronic)
-
R. P. STANLEY, Flag-symmetric and locally rank-symmetric partially ordered sets, Electron. J. Combin., 3 (1996), Research Paper 6, 22 pp. (electronic).
-
(1996)
Electron. J. Combin.
, vol.3
-
-
Stanley, R.P.1
-
28
-
-
0347413370
-
Parking functions and noncrossing partitions
-
Research Paper 20, (electronic)
-
R. P. STANLEY, Parking functions and noncrossing partitions, Electron. J. Combin., 4 (1997), Research Paper 20, 14 pp. (electronic).
-
(1997)
Electron. J. Combin.
, vol.4
-
-
Stanley, R.P.1
|