Quantum multilinear algebra

Mitsuyasu Hashimoto; Takahiro Hayashi

doi:10.2748/tmj/1178227246

Quantum multilinear algebra

Mitsuyasu Hashimoto, Takahiro Hayashi

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

14 Citations (Scopus)

Abstract

We construct a quantized version of the theory of multilinear algebra, based on Jimbo’s solution of Yang-Baxter equation of type A¹_N-1 Using this, we discuss the polynomial representations of quantum general linear groups.

Original language	English
Pages (from-to)	471-521
Number of pages	51
Journal	Tohoku Mathematical Journal
Volume	44
Issue number	4
DOIs	https://doi.org/10.2748/tmj/1178227246
Publication status	Published - Dec 1992
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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10.2748/tmj/1178227246

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title = "Quantum multilinear algebra",

abstract = "We construct a quantized version of the theory of multilinear algebra, based on Jimbo{\textquoteright}s solution of Yang-Baxter equation of type A1N-1 Using this, we discuss the polynomial representations of quantum general linear groups.",

author = "Mitsuyasu Hashimoto and Takahiro Hayashi",

year = "1992",

month = dec,

doi = "10.2748/tmj/1178227246",

language = "English",

volume = "44",

pages = "471--521",

journal = "Tohoku Mathematical Journal",

issn = "0040-8735",

publisher = "Tohoku University, Mathematical Institute",

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AU - Hayashi, Takahiro

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JF - Tohoku Mathematical Journal

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Quantum multilinear algebra

Abstract

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