3 citations · 4 across the 7 of their papers we have counts for
8 papers
Coxeter groups and the proper joint spectrums of their faithful representations
Shoumin Liu, Zhaohuan Peng, Xumin Wang
In this paper, we analyze the faithful representations of the dihedral groups, and prove that the Coxeter groups can be determined by the proper joint spectrum of their faithful re…
The characteristic polynomials of imprimitive groups and affine Coxeter groups
Chenyue Feng, Shoumin Liu, Xumin Wang
In this paper, we will seek appropriate generators to define the characteristic polynomials of , and prove that for every finite dimensional representation of ,…
Characteristic polynomials for classical Lie algebras
Chenyue Feng, Shoumin Liu, Xumin Wang
In this paper, we will compute the characteristic polynomials for finite dimensional representations of classical complex Lie algebras and the exceptional Lie algebra of type G2, w…
A noncommutative maximal inequality for Fejér means on totally disconnected non-abelian groups
Fugui Ding, Guixiang Hong, Xumin Wang
In this paper, we explore Fourier analysis for noncommutative space-valued functions on , where is a totally disconnected non-abelian compact group. By additionally as…
Maximal amenability of the radial subalgebra in free quantum group factors
Roland Vergnioux, Xumin Wang
We show that the radial MASA in the orthogonal free quantum group algebra L(FO_N) is maximal amenable if N is large enough, using the Asymptotic Orthogonality Property. This relies…
Characteristic polynomials and finitely dimensional representations of simple Lie Algebras
Amin Geng, Shoumin Liu, Xumin Wang
In this paper, the correspondence between the finite dimensional representations of a simple Lie algebra and their characteristic polynomials is established, and a monoid structure…
Pointwise convergence of noncommutative Fourier series
Guixiang Hong, Simeng Wang, Xumin Wang
This paper is devoted to the study of pointwise convergence of Fourier series for group von Neumann algebras and quantum groups. It is well-known that a number of approximation pro…
Invariant Markov semigroups on quantum homogeneous spaces
Biswarup Das, Uwe Franz, Xumin Wang
Invariance properties of linear functionals and linear maps on algebras of functions on quantum homogeneous spaces are studied, in particular for the special case of expected coide…