Tensor square of the minimal representation of O(p, q)

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper, we study the tensor product π = σmin ⊗ σmin of the minimal representation σmin of O(p, q) with itself, and decompose π into a direct integral of irreducible representations. The decomposition is given in terms of the Plancherel measure on a certain real hyperbolic space.

Original languageEnglish (US)
Pages (from-to)48-55
Number of pages8
JournalCanadian Mathematical Bulletin
Volume50
Issue number1
DOIs
StatePublished - Jan 1 2007

Fingerprint

Tensor
Plancherel Measure
Decompose
Hyperbolic Space
Irreducible Representation
Tensor Product

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Tensor square of the minimal representation of O(p, q). / Dvorsky, Alexander.

In: Canadian Mathematical Bulletin, Vol. 50, No. 1, 01.01.2007, p. 48-55.

Research output: Contribution to journalArticle

@article{daa362d7966e462eaf36dffbfd0e7c5c,
title = "Tensor square of the minimal representation of O(p, q)",
abstract = "In this paper, we study the tensor product π = σmin ⊗ σmin of the minimal representation σmin of O(p, q) with itself, and decompose π into a direct integral of irreducible representations. The decomposition is given in terms of the Plancherel measure on a certain real hyperbolic space.",
author = "Alexander Dvorsky",
year = "2007",
month = "1",
day = "1",
doi = "10.4153/CMB-2007-005-x",
language = "English (US)",
volume = "50",
pages = "48--55",
journal = "Canadian Mathematical Bulletin",
issn = "0008-4395",
publisher = "Canadian Mathematical Society",
number = "1",

}

TY - JOUR

T1 - Tensor square of the minimal representation of O(p, q)

AU - Dvorsky, Alexander

PY - 2007/1/1

Y1 - 2007/1/1

N2 - In this paper, we study the tensor product π = σmin ⊗ σmin of the minimal representation σmin of O(p, q) with itself, and decompose π into a direct integral of irreducible representations. The decomposition is given in terms of the Plancherel measure on a certain real hyperbolic space.

AB - In this paper, we study the tensor product π = σmin ⊗ σmin of the minimal representation σmin of O(p, q) with itself, and decompose π into a direct integral of irreducible representations. The decomposition is given in terms of the Plancherel measure on a certain real hyperbolic space.

UR - http://www.scopus.com/inward/record.url?scp=33947369504&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33947369504&partnerID=8YFLogxK

U2 - 10.4153/CMB-2007-005-x

DO - 10.4153/CMB-2007-005-x

M3 - Article

VL - 50

SP - 48

EP - 55

JO - Canadian Mathematical Bulletin

JF - Canadian Mathematical Bulletin

SN - 0008-4395

IS - 1

ER -