从 Guay 的 Affine Yanians 到非矩形 W-gebras 的同构实例

IF 0.4 3区数学 Q4 MATHEMATICS Transformation Groups Pub Date : 2023-12-18 DOI:10.1007/s00031-023-09834-z

Mamoru Ueda

引用次数: 0

摘要

我们构建了一个从与$\widehat\mathfrak {sl}}(n)$ 相关的盖氏仿射扬基到与$\mathfrak {gl}(m+n)$ 相关的列代数的 W-algebra 的普遍包络代数以及对于$m>.)而言的\((2^{n},1^{m-n})$类型的无穷元的非三重同态；n\).

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An Example of Homomorphisms from Guay’s Affine Yangians to Non-rectangular W-algebras

We construct a non-trivial homomorphism from the Guay’s affine Yangian associated with $\widehat{\mathfrak {sl}}(n)$ to the universal enveloping algebra of the W-algebra associated with a Lie algebra $\mathfrak {gl}(m+n)$ and a nilpotent element of type $(2^{n},1^{m-n})$ for $m>n$.

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来源期刊

Transformation Groups 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

100

审稿时长

9 months

期刊介绍： Transformation Groups will only accept research articles containing new results, complete Proofs, and an abstract. Topics include: Lie groups and Lie algebras; Lie transformation groups and holomorphic transformation groups; Algebraic groups; Invariant theory; Geometry and topology of homogeneous spaces; Discrete subgroups of Lie groups; Quantum groups and enveloping algebras; Group aspects of conformal field theory; Kac-Moody groups and algebras; Lie supergroups and superalgebras.

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