搜索结果: 1-5 共查到“数学 Kac-Moody groups”相关记录5条 . 查询时间(0.073 秒)
Cohomology of Kac-Moody groups over a finite field
Cohomology classifying spaces Kac-Moody groups
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2012/6/26
We compute the mod $p$ cohomology algebra of a family of infinite discrete Kac-Moody groups of rank two defined over finite fields of characteristic different from $p$.
Double Bruhat Cells in Kac-Moody Groups and Integrable Systems
Double Bruhat Cells Kac-Moody Groups Integrable Systems Quantum Algebra
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2012/4/18
We construct a family of integrable Hamiltonian systems parametrized by pairs of Coxeter elements in the affine Weyl group. Their phase spaces are double Bruhat cells in the corresponding Kac-Moody gr...
Almost split Kac-Moody groups over ultrametric fields
split Kac-Moody groups ultrametric fields
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2012/2/29
For a split Kac-Moody group G over an ultrametric field K, S. Gaussent and the author defined an ordered affine hovel on which the group acts; it generalizes the Bruhat-Tits building which corresponds...
Infinite loop spaces associated to affine Kac-Moody groups
generalized Cartan matrix infinite loop space affine Kac-Moody group
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2011/2/25
It is well known that to each infinite class of classical groups over a commutative ring R, we can associate an infinite loop space by Quillen’s plus construction. In this paper we generalize this fac...
The elliptic curve in the S-duality theory and Eisenstein series for Kac-Moody groups
elliptic curve S-duality theory Eisenstein series Kac-Moody groups
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2010/10/29
We establish a relation between the generating functions appearing in the S-duality conjecture of Vafa and Witten and geometric Eisenstein series for Kac-Moody groups. For a pair consisting of a surfa...