Hecke–Shimura Rings of Double Cosets

We give a one-to-one correspondence between classes of density matrices under local unitary invariance and the double cosets of unitary groups. We show that the interrelationship among classes of local unitary equivalent multi-partite mixed states is independent from the actual values of the eigenvalues and only depends on the multiplicities of the eigenvalues. The interpretation in terms of homogeneous spaces of unitary groups is also discussed.

Download Full-text

Probability Distributions of Multi-species q-TAZRP and ASEP as Double Cosets of Parabolic Subgroups

Annales Henri Poincaré ◽

10.1007/s00023-019-00761-y ◽

2019 ◽

Vol 20 (4) ◽

pp. 1149-1173

Author(s):

Jeffrey Kuan

Keyword(s):

Probability Distributions ◽

Parabolic Subgroups ◽

Double Cosets

Download Full-text

Double Cosets, Rotations and Isometric Circles

Computational Methods and Function Theory ◽

10.1007/s40315-021-00375-8 ◽

2021 ◽

Author(s):

A. F. Beardon ◽

D. Minda

Keyword(s):

Double Cosets

Download Full-text

Double Cosets for and Outer Automorphisms of Free Groups

International Mathematics Research Notices ◽

10.1093/imrn/rnq140 ◽

2010 ◽

Cited By ~ 4

Author(s):

Y. A. Neretin

Keyword(s):

Free Groups ◽

Double Cosets ◽

Automorphisms Of Free Groups ◽

Outer Automorphisms

Download Full-text

On wreath product of n-polygroups

Journal of Algebra and Its Applications ◽

10.1142/s0219498815500607 ◽

2015 ◽

Vol 14 (04) ◽

pp. 1550060 ◽

Cited By ~ 4

Author(s):

S. Mirvakili ◽

M. Farshi ◽

B. Davvaz

Keyword(s):

Wreath Product ◽

Idempotent Element ◽

Double Cosets ◽

Isomorphism Theorems

In this paper, we shall introduce thin n-subpolygroups of a given n-polygroup and in this regards, the notion of wreath product of n-polygroups will be studied. Also, double cosets of n-polygroups are investigated and the classical isomorphism theorems of groups are generalized to n-polygroups. The main result of the paper is that a finite n-polygroup is singular if and only if it is a wreath product of n-subpolygroups all of which are thin or generated by an involution or by an idempotent element.

Download Full-text