Schur–Weyl duality for the Brauer algebra and the ortho-symplectic Lie superalgebra

Michael Ehrig; Catharina Stroppel

doi:10.1007/s00209-016-1669-y

Schur–Weyl duality for the Brauer algebra and the ortho-symplectic Lie superalgebra

Michael Ehrig^*
, Catharina Stroppel

^*Corresponding author for this work

Endenicher Allee 60

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

19 Citations (Scopus)

Abstract

We give a proof of a Schur–Weyl duality statement between the Brauer algebra and the ortho-symplectic Lie superalgebra osp(V).

Original language	English
Pages (from-to)	595-613
Number of pages	19
Journal	Mathematische Zeitschrift
Volume	284
Issue number	1-2
DOIs	https://doi.org/10.1007/s00209-016-1669-y
Publication status	Published - 1 Oct 2016
Externally published	Yes

Keywords

Brauer algebra
Double centralizer
Invariant theory
Lie superalgebra
Mixed tensor space

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10.1007/s00209-016-1669-y

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title = "Schur–Weyl duality for the Brauer algebra and the ortho-symplectic Lie superalgebra",

abstract = "We give a proof of a Schur–Weyl duality statement between the Brauer algebra and the ortho-symplectic Lie superalgebra osp(V).",

keywords = "Brauer algebra, Double centralizer, Invariant theory, Lie superalgebra, Mixed tensor space",

author = "Michael Ehrig and Catharina Stroppel",

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doi = "10.1007/s00209-016-1669-y",

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AU - Ehrig, Michael

AU - Stroppel, Catharina

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N2 - We give a proof of a Schur–Weyl duality statement between the Brauer algebra and the ortho-symplectic Lie superalgebra osp(V).

AB - We give a proof of a Schur–Weyl duality statement between the Brauer algebra and the ortho-symplectic Lie superalgebra osp(V).

KW - Brauer algebra

KW - Double centralizer

KW - Invariant theory

KW - Lie superalgebra

KW - Mixed tensor space

UR - https://www.scopus.com/pages/publications/84964329150

U2 - 10.1007/s00209-016-1669-y

DO - 10.1007/s00209-016-1669-y

M3 - Article

AN - SCOPUS:84964329150

SN - 0025-5874

VL - 284

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EP - 613

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 1-2

ER -

Schur–Weyl duality for the Brauer algebra and the ortho-symplectic Lie superalgebra

Abstract

Keywords

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