Tertrahedron equations and nilpotent subalgebras of Uq(sln)

Sergey Sergeev

doi:10.1007/s11005-008-0219-x

Tertrahedron equations and nilpotent subalgebras of Uq(sln)

Sergey Sergeev

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 Uq(n+)⊂Uq(sln)Uq(n+)⊂Uq(sln) 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
Externally published	Yes

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10.1007/s11005-008-0219-x

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title = "Tertrahedron equations and nilpotent subalgebras of Uq(sln)",

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)Uq(n+)⊂Uq(sln) is observed",

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

author = "Sergey Sergeev",

year = "2008",

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language = "English",

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AU - Sergeev, Sergey

PY - 2008/3

Y1 - 2008/3

N2 - 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)Uq(n+)⊂Uq(sln) is observed

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)Uq(n+)⊂Uq(sln) is observed

KW - Nilpotetnt subalgebras

KW - Poinkaré-Birkhoff-Witt type bases

KW - Tetrahedron equation

UR - https://www.scopus.com/pages/publications/39849108332

U2 - 10.1007/s11005-008-0219-x

DO - 10.1007/s11005-008-0219-x

M3 - Article

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VL - 83

SP - 231

EP - 235

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 3

ER -

Tertrahedron equations and nilpotent subalgebras of Uq(sln)

Abstract

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