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Monomials and Temperley-Lieb algebras.

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Monomials and Temperley-Lieb algebras. / Fan, C. K.; Green, R. M.
In: Journal of Algebra, Vol. 190, No. 2, 15.04.1997, p. 498-517.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Fan, CK & Green, RM 1997, 'Monomials and Temperley-Lieb algebras.', Journal of Algebra, vol. 190, no. 2, pp. 498-517. https://doi.org/10.1006/jabr.1996.6930

APA

Fan, C. K., & Green, R. M. (1997). Monomials and Temperley-Lieb algebras. Journal of Algebra, 190(2), 498-517. https://doi.org/10.1006/jabr.1996.6930

Vancouver

Fan CK, Green RM. Monomials and Temperley-Lieb algebras. Journal of Algebra. 1997 Apr 15;190(2):498-517. doi: 10.1006/jabr.1996.6930

Author

Fan, C. K. ; Green, R. M. / Monomials and Temperley-Lieb algebras. In: Journal of Algebra. 1997 ; Vol. 190, No. 2. pp. 498-517.

Bibtex

@article{68dfcfc10d3a4e8a819e2d06d42d8f8c,
title = "Monomials and Temperley-Lieb algebras.",
abstract = "We classify the “fully tight” simply laced Coxeter groups, that is, the ones whoseiji-avoiding Kazhdan–Lusztig basis elements are monomials in the generatorsBsi. We then investigate the basis of the Temperley–Lieb algebra arising from the Kazhdan–Lusztig basis of the associated Hecke algebra, and prove that the basis coincides with the usual (monomial) basis.",
author = "Fan, {C. K.} and Green, {R. M.}",
year = "1997",
month = apr,
day = "15",
doi = "10.1006/jabr.1996.6930",
language = "English",
volume = "190",
pages = "498--517",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "ELSEVIER ACADEMIC PRESS INC",
number = "2",

}

RIS

TY - JOUR

T1 - Monomials and Temperley-Lieb algebras.

AU - Fan, C. K.

AU - Green, R. M.

PY - 1997/4/15

Y1 - 1997/4/15

N2 - We classify the “fully tight” simply laced Coxeter groups, that is, the ones whoseiji-avoiding Kazhdan–Lusztig basis elements are monomials in the generatorsBsi. We then investigate the basis of the Temperley–Lieb algebra arising from the Kazhdan–Lusztig basis of the associated Hecke algebra, and prove that the basis coincides with the usual (monomial) basis.

AB - We classify the “fully tight” simply laced Coxeter groups, that is, the ones whoseiji-avoiding Kazhdan–Lusztig basis elements are monomials in the generatorsBsi. We then investigate the basis of the Temperley–Lieb algebra arising from the Kazhdan–Lusztig basis of the associated Hecke algebra, and prove that the basis coincides with the usual (monomial) basis.

U2 - 10.1006/jabr.1996.6930

DO - 10.1006/jabr.1996.6930

M3 - Journal article

VL - 190

SP - 498

EP - 517

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

IS - 2

ER -