Tetrahedron equations and nilpotent subalgebras of Uq(sl n)

Sergey Mikhailovich Sergeev

doi:10.1007/s11005-008-0219-x

Tetrahedron equations and nilpotent subalgebras of U_q(sl _n)

Sergey Mikhailovich Sergeev^*

^*Corresponding author for this work

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

8 Citations (Scopus)

Abstract

A relation between q-oscillator R-matrix of the tetrahedron equation and decompositions of Poinkaré-Birkhoff-Witt type bases for nilpotent subalgebras U_q (n₊) ⊂ U_q(sl_n) is observed.

Original language	English
Pages (from-to)	231-235
Number of pages	5
Journal	Letters in Mathematical Physics
Volume	83
Issue number	3
DOIs	https://doi.org/10.1007/s11005-008-0219-x
Publication status	Published - Mar 2008

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title = "Tetrahedron equations and nilpotent subalgebras of Uq(sl n)",

abstract = "A relation between q-oscillator R-matrix of the tetrahedron equation and decompositions of Poinkar{\'e}-Birkhoff-Witt type bases for nilpotent subalgebras Uq (n+) ⊂ Uq(sln) is observed.",

keywords = "Nilpotetnt subalgebras, Poinkar{\'e}-Birkhoff-Witt type bases, Tetrahedron equation",

author = "Sergeev, {Sergey Mikhailovich}",

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AU - Sergeev, Sergey Mikhailovich

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AB - A relation between q-oscillator R-matrix of the tetrahedron equation and decompositions of Poinkaré-Birkhoff-Witt type bases for nilpotent subalgebras Uq (n+) ⊂ Uq(sln) is observed.

KW - Nilpotetnt subalgebras

KW - Poinkaré-Birkhoff-Witt type bases

KW - Tetrahedron equation

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DO - 10.1007/s11005-008-0219-x

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JO - Letters in Mathematical Physics

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Tetrahedron equations and nilpotent subalgebras of U_q(sl _n)

Abstract

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