当前位置: X-MOL 学术Algebr. Represent. Theor. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Quantum Exceptional Group G 2 and its Semisimple Conjugacy Classes
Algebras and Representation Theory ( IF 0.5 ) Pub Date : 2019-08-06 , DOI: 10.1007/s10468-019-09913-4
Alexander Baranov , Andrey Mudrov , Vadim Ostapenko

We construct quantization of semisimple conjugacy classes of the exceptional group G = G2 along with and by means of their representations on highest weight modules over the quantum group \(U_{q}(\mathfrak {g})\). With every point t of a fixed maximal torus we associate a highest weight module Mt over \(U_{q}(\mathfrak {g})\) and realize the quantized polynomial algebra of the class of t by linear operators on Mt. Quantizations corresponding to points of the same orbit of the Weyl group are isomorphic.

中文翻译:

量子例外群G 2及其半简单共轭分类

我们构造了例外群G = G 2的半简单共轭类的量化,并通过它们在量子群\(U_ {q}(\ mathfrak {g})\)上的最高权重模块上的表示进行构造。与每一点的固定最大的环面我们最高权重模块关联中号以上\(U_ {Q}(\ mathfrak {G})\) ,实现类的的量化多项式代数由线性算子中号。对应于Weyl基团相同轨道的点的量化是同构的。
更新日期:2019-08-06
down
wechat
bug