Structure constants of U(sl2)

被引：0

作者：

Gourley, Alexia ^{[1
]}

Kennedy, Christopher ^{[2
]}

机构：

[1] George Mason Univ, Dept Stat, Fairfax, VA 22030 USA

[2] Christopher Newport Univ, Dept Math, Newport News, VA USA

来源：

INVOLVE, A JOURNAL OF MATHEMATICS | 2020年 / 13卷 / 04期

关键词：

structure constants; universal enveloping algebra; nonassociative algebra; Lie algebras;

D O I：

10.2140/involve.2020.13.541

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive a recursive formula for the structure constants for the universal enveloping algebra of sl(2)(K), where K is an algebraically closed field of characteristic zero.

引用

页码：541 / 550

页数：10

共 50 条

[21] THE SCHEME OF CHARACTERS IN SL2
Heusener, Michael
Porti, Joan
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 376 (09) : 6283 - 6313
[22] ON THE HOMOLOGY OF SL2, A COMPLEMENT
CATHELINEAU, JL
MATHEMATICA SCANDINAVICA, 1990, 66 (01) : 17 - 20
[23] SL2, the cubic and the quartic
Papageorgiou, YY
ANNALES DE L INSTITUT FOURIER, 1998, 48 (01) : 29 - +
[24] The equitable basis for sl2
Benkart, Georgia
Terwilliger, Paul
MATHEMATISCHE ZEITSCHRIFT, 2011, 268 (1-2) : 535 - 557
[25] A Categorification of Quantum sl2
王娜
王志玺
吴可
杨紫峰
Communications in Theoretical Physics, 2011, 56 (07) : 37 - 45
[26] Form factors and action of U√-1(sl2)over tilde on ∞-cycles
Jimbo, M
Miwa, T
Mukhin, E
Takeyama, Y
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2004, 245 (03) : 551 - 576
[27] IRREDUCIBLE REPRESENTATIONS OF GROUPS SL2(ZP), ESPECIALLY SL2(Z2) .2.
NOBS, A
WOLFART, J
COMMENTARII MATHEMATICI HELVETICI, 1976, 51 (04) : 491 - 526
[28] Linear groups of degree four containing the subgroup SL2(k) ⊗ SL2(k)
Bashkirov, Evgenii L.
JOURNAL OF PURE AND APPLIED ALGEBRA, 2011, 215 (07) : 1688 - 1701
[29] A Linear Map Acts as a Leonard Pair with Each of the Generators of U (sl2)
Alnajjar, Hasan
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2020, 2020
[30] On the combinatorics of the universal enveloping algebra (U)over-caph(sl2)
Diaz, Rafael
Salamanca, Edward
SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2019, 13 (01): : 342 - 369

← 1 2 3 4 5 →