q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra U-q(u(n, 1))

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F10%3A00167051" target="_blank" >RIV/68407700:21340/10:00167051 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra U-q(u(n, 1))

Original language description

For the quantum algebra U-q(gl(n + 1)) in its reduction on the subalgebra U-q(gl(n)) an explicit description of a Mickelsson-Zhelobenko reduction Z-algebra Z(q)(gl(n+1), gl(n)) is given in terms of the generators and their defining relations. Using thisZ-algebra we describe Hermitian irreducible representations of a discrete series for the noncompact quantum algebra U-q(u(n, 1)) which is a real form of U-q(gl(n + 1)), namely, an orthonormal Gelfand-Graev basis is constructed in an explicit form.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/LC06002" target="_blank" >LC06002: Doppler Institute for Mathematical Physics and Applied Mathematics</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

ISSN

1815-0659

e-ISSN

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Volume of the periodical

6

Issue of the periodical within the volume

10

Country of publishing house

UA - UKRAINE

Number of pages

13

Pages from-to

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UT code for WoS article

000274771200005

EID of the result in the Scopus database

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