CRYSTAL GRAPHS AND Q-ANALOGS OF WEIGHT MULTIPLICITIES FOR THE ROOT-SYSTEM A(N)

被引：44

作者：

LASCOUX, A ^{[1
]}

LECLERQ, B ^{[1
]}

THIBON, JY ^{[1
]}

机构：

[1] UNIV MARNE LA VALLEE,INST GASPARD MONGE,F-93166 NOISY LE GRAND,FRANCE

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1995年 / 35卷 / 04期

关键词：

D O I：

10.1007/BF00750843

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give an expression of the q-analogues of the multiplicities of weights in irreducible sl(n+1)-modules in terms of the geometry of the crystal graph attached to corresponding U-q(sl(n+1))-modules. As an application, we describe multivariate polynomial analogues of the multiplicities of the zero weight refining Kostant's generalized exponents.

引用

页码：359 / 374

页数：16

共 18 条

[1] On q-analogs of weight multiplicities for the Lie superalgebras gl(n, m) and spo(2n, M)
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[2] q-analogs of strongly regular graphs
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[6] Q-ANALOGS OF VERMA REPRESENTATIONS OF QUANTUM ALGEBRAS FOR Q, A ROOT OF UNITY - THE CASE OF UQ(SL(3))
SUN, CP
LU, JF
GE, ML
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (16): : 3731 - 3740
[7] COMBINATORIAL INTERPRETATIONS OF THE Q-ANALOGS OF L2N+1
AGARWAL, AK
FIBONACCI QUARTERLY, 1991, 29 (02): : 137 - 140
[8] Q-ANALOGS OF THE RADIAL SCHRODINGER-EQUATION IN N-SPACE DIMENSIONS
PAPP, E
PHYSICAL REVIEW A, 1995, 52 (01): : 101 - 106
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VIJAYAKUMAR, GR
EUROPEAN JOURNAL OF COMBINATORICS, 1990, 11 (06) : 523 - 533
[10] GROWTH AND TRANSLOCATION OF C AND N IN WHEAT (TRITICUM-AESTIVUM) GROWN WITH A SPLIT ROOT-SYSTEM
LAMBERS, H
SIMPSON, RJ
BEILHARZ, VC
DALLING, MJ
PHYSIOLOGIA PLANTARUM, 1982, 56 (04) : 421 - 429

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