Function theory on a q-analog of complex hyperbolic space

Olga Bershtein; S. Sinel'shchikov

Function theory on a q-analog of complex hyperbolic space

Olga Bershtein, S. Sinel'shchikov

Institut for Matematiske Fag

1 Citationer (Scopus)

Abstract

This work deals with function theory on quantum complex hyperbolic spaces. The principal notions are expounded. We obtain explicit formulas for invariant integrals on 'finite' functions on a quantum hyperbolic space and on the associated quantum isotropic cone. Also we establish principal series of Uqsun,m-modules related to this cone, and obtain the necessary conditions for those modules to be equivalent.

Originalsprog	Engelsk
Tidsskrift	J. of Geometry and Physics
Vol/bind	62
Udgave nummer	5
Sider (fra-til)	1323-1337
Antal sider	15
Status	Udgivet - maj 2012

Citationsformater

@article{af21c73e98c14907b67e3eed39c305aa,

title = "Function theory on a q-analog of complex hyperbolic space",

abstract = "This work deals with function theory on quantum complex hyperbolic spaces. The principal notions are expounded. We obtain explicit formulas for invariant integrals on 'finite' functions on a quantum hyperbolic space and on the associated quantum isotropic cone. Also we establish principal series of Uqsun,m-modules related to this cone, and obtain the necessary conditions for those modules to be equivalent.",

author = "Olga Bershtein and S. Sinel'shchikov",

year = "2012",

month = may,

language = "English",

volume = "62",

pages = "1323--1337",

journal = "J. of Geometry and Physics",

number = "5",

}

TY - JOUR

T1 - Function theory on a q-analog of complex hyperbolic space

AU - Bershtein, Olga

AU - Sinel'shchikov, S.

PY - 2012/5

Y1 - 2012/5

N2 - This work deals with function theory on quantum complex hyperbolic spaces. The principal notions are expounded. We obtain explicit formulas for invariant integrals on 'finite' functions on a quantum hyperbolic space and on the associated quantum isotropic cone. Also we establish principal series of Uqsun,m-modules related to this cone, and obtain the necessary conditions for those modules to be equivalent.

AB - This work deals with function theory on quantum complex hyperbolic spaces. The principal notions are expounded. We obtain explicit formulas for invariant integrals on 'finite' functions on a quantum hyperbolic space and on the associated quantum isotropic cone. Also we establish principal series of Uqsun,m-modules related to this cone, and obtain the necessary conditions for those modules to be equivalent.

M3 - Journal article

VL - 62

SP - 1323

EP - 1337

JO - J. of Geometry and Physics

JF - J. of Geometry and Physics

IS - 5

ER -

Function theory on a q-analog of complex hyperbolic space

Abstract

Fingeraftryk

Citationsformater