The GL-module structure of the Hochschild homology of truncated tensor algebras

Guillermo Ames; Leandro Cagliero; Paulo Tirao

doi:10.1016/j.jpaa.2004.02.006

The GL-module structure of the Hochschild homology of truncated tensor algebras

Guillermo Ames, Leandro Cagliero, Paulo Tirao^*

^*Corresponding author for this work

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

1 Scopus citations

Abstract

The finite dimensional complex truncated tensor algebras have a natural module structure over the complex general linear group. This structure is inherited by the Hochschild homology of these algebras. In this paper we determine this module structure by combining techniques from homological algebra and representation theory, such as the Schur duality theorem.

Original language	English
Pages (from-to)	11-26
Number of pages	16
Journal	Journal of Pure and Applied Algebra
Volume	193
Issue number	1-3
DOIs	https://doi.org/10.1016/j.jpaa.2004.02.006
State	Published - 1 Oct 2004
Externally published	Yes

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title = "The GL-module structure of the Hochschild homology of truncated tensor algebras",

abstract = "The finite dimensional complex truncated tensor algebras have a natural module structure over the complex general linear group. This structure is inherited by the Hochschild homology of these algebras. In this paper we determine this module structure by combining techniques from homological algebra and representation theory, such as the Schur duality theorem.",

author = "Guillermo Ames and Leandro Cagliero and Paulo Tirao",

year = "2004",

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AU - Cagliero, Leandro

AU - Tirao, Paulo

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N2 - The finite dimensional complex truncated tensor algebras have a natural module structure over the complex general linear group. This structure is inherited by the Hochschild homology of these algebras. In this paper we determine this module structure by combining techniques from homological algebra and representation theory, such as the Schur duality theorem.

AB - The finite dimensional complex truncated tensor algebras have a natural module structure over the complex general linear group. This structure is inherited by the Hochschild homology of these algebras. In this paper we determine this module structure by combining techniques from homological algebra and representation theory, such as the Schur duality theorem.

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JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

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The GL-module structure of the Hochschild homology of truncated tensor algebras

Abstract

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