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

Access to Document

10.1007/s11005-008-0219-x

Cite this

@article{c54ae321d6434e6ba25be1daea17bea3,

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\}",

year = "2008",

month = mar,

doi = "10.1007/s11005-008-0219-x",

language = "English",

volume = "83",

pages = "231--235",

journal = "Letters in Mathematical Physics",

issn = "0377-9017",

publisher = "Springer Netherlands",

number = "3",

}

TY - JOUR

T1 - Tetrahedron equations and nilpotent subalgebras of Uq(sl n)

AU - Sergeev, Sergey Mikhailovich

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) 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) 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

SN - 0377-9017

VL - 83

SP - 231

EP - 235

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 3

ER -

Tetrahedron equations and nilpotent subalgebras of U_q(sl _n)

Abstract

Access to Document

Other files and links

Fingerprint

Cite this