FOUR EASY PIECES — EXPLICIT R MATRICES FROM THE$(\dot 0_m |\alpha)$HIGHEST WEIGHT REPRESENTATIONS OFUq[gl(m|1)]

David de Wit ()
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David de Wit: RIMS, Kyoto University, 606-8502, Japan

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 07, 1109-1136

Abstract: We provide explicit presentations of members of a suite of R matrices arising from the$(\dot 0_m|\alpha)$representations of the quantum superalgebrasUq[gl(m|1)]. Our algorithm constructs both trigonometric and quantum R matrices; all of which aregraded, in that they solve a graded Yang–Baxter equation. This grading is easily removed, yielding R matrices that solve the usual Yang–Baxter equation. Form > 2, the computations are impracticable for a human to perform, so we have implemented the entire process in MATHEMATICA, and then performed the computations form = 1, 2, 3 and 4.

Keywords: Quantum Superalgebra; Explicit R Matrix (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S012918310100236X

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