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Linear groups over a locally linear division ring
Division ring algebraic strongly algebraic locally linear linear groups
2011/2/28
In this paper, in the first we give definitions of some classes of division rings which strictly contain the class of centrally finite division rings. One of our main purpose is to construct non-trivi...
Support convergence in the single ring theorem
Randommatrices non-commutativemeasure Schwinger–Dyson equation
2011/1/21
We study the eigenvalues of non-normal square matrices of the form An =UnTnVn with Un,Vn independent Haar distributed on the unitary group and Tn real diagonal. We show that when the empirical measure...
We propose a methodology to construct excited states with a fixed angular momentum, namely,
“yrast excited states” of finite-size one-dimensional bosonic systems with periodic boundary conditions.
Equivariant total ring of fractions and factoriality of rings generated by semiinvariants
Equivariant total ring of fractions and factoriality of rings generated by semiinvariants
2010/12/13
Let F be an affine flat group scheme over a commutative ring R,and S an F-algebra (an R-algebra on which F acts). We define an equivariant analogue QF (S) of the total ring of fractions Q(S) of S.It i...
Hecke Ring of $(\symg{2n},\hypero{n})$: Generators and the Farahat-Higman Ring
20C08 33C80. Hecke algebra symmetric space Farahat-Higman ring center of the symmetric group ring
2010/12/14
In this work, we present a set of ring generators for the Hecke ring of the Gel’fand pair (S2n;Bn), where Bn is the hyperoctahedral subgroup of the symmetric group S2n, following the work of Farahat a...