The degrees of orbits of the multiplicity-free actions

Sholiei Kato; Hiroyuki Ochiai

The degrees of orbits of the multiplicity-free actions

Sholiei Kato
, Hiroyuki Ochiai

Research output: Contribution to journal › Article › peer-review

Abstract

We give a formula for the degrees of orbits of the irreducible representations with multiplicity-free action. In particular, we obtain the Bernstein degree and the associated cycle of the irreducible unitary highest weight modules of the scalar type for arbitrary hermitian Lie algebras.

Original language	English
Pages (from-to)	139-158
Number of pages	20
Journal	Asterisque
Volume	273
Publication status	Published - 2001
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

Cite this

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title = "The degrees of orbits of the multiplicity-free actions",

abstract = "We give a formula for the degrees of orbits of the irreducible representations with multiplicity-free action. In particular, we obtain the Bernstein degree and the associated cycle of the irreducible unitary highest weight modules of the scalar type for arbitrary hermitian Lie algebras.",

author = "Sholiei Kato and Hiroyuki Ochiai",

year = "2001",

language = "English",

volume = "273",

pages = "139--158",

journal = "Asterisque",

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publisher = "Societe Mathematique de France",

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T1 - The degrees of orbits of the multiplicity-free actions

AU - Kato, Sholiei

AU - Ochiai, Hiroyuki

PY - 2001

Y1 - 2001

N2 - We give a formula for the degrees of orbits of the irreducible representations with multiplicity-free action. In particular, we obtain the Bernstein degree and the associated cycle of the irreducible unitary highest weight modules of the scalar type for arbitrary hermitian Lie algebras.

AB - We give a formula for the degrees of orbits of the irreducible representations with multiplicity-free action. In particular, we obtain the Bernstein degree and the associated cycle of the irreducible unitary highest weight modules of the scalar type for arbitrary hermitian Lie algebras.

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M3 - Article

AN - SCOPUS:33744751427

SN - 0303-1179

VL - 273

SP - 139

EP - 158

JO - Asterisque

JF - Asterisque

ER -

The degrees of orbits of the multiplicity-free actions

Abstract

All Science Journal Classification (ASJC) codes

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