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In his doctoral thesis [3] and subsequent papers [4, 5], Todd Drumm developed
a theory of fundamental domains for discrete groups of isometries of Minkowski
(2 + 1)-space E, using polyhedra called c...
In this paper, we give a characterization of existence of a dense orbit for the action on Cn of an abelian affine subgroup G of GA(n,C). We prove in particular that if G has a dense orbit then the clo...
Infinite loop spaces associated to affine Kac-Moody groups
generalized Cartan matrix infinite loop space affine Kac-Moody group
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...
Integrable defects in affine Toda field theory and infinite dimensional representations of quantum groups
Integrable defects affine Toda field theory infinite dimensional representations quantum groups
2011/3/3
Transmission matrices for two types of integrable defect are calculated explicitly, first by solving directly the nonlinear transmission Yang-Baxter equations.
Extended weight semigroups of affine spherical homogeneous spaces of non-simple semisimple algebraic groups
Extended weight semigroups affine spherical homogeneous spaces of non-simple semisimple algebraic groups
2011/1/17
The extended weight semigroup of a homogeneous space G/H of a connected semisimple algebraic group G characterizes the spectra of the repre-sentations of G on the spaces of regular sections of homogen...