On the Relation Between Yangians, Affine Hecke Algebras and Long-Range Interacting Models
Denis Bernard (1995)
Recherche Coopérative sur Programme n°25
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Denis Bernard (1995)
Recherche Coopérative sur Programme n°25
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Macdonald, Ian G. (1998)
Documenta Mathematica
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Cristina M. Ballantine, John A. Rhodes, Thomas R. Shemanske (2004)
Acta Arithmetica
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Erik Christensen, Costel Peligrad (1980)
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Frederick M. Goodman, Holly Hauschild (2006)
Fundamenta Mathematicae
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The affine Birman-Wenzl-Murakami algebras can be defined algebraically, via generators and relations, or geometrically as algebras of tangles in the solid torus, modulo Kauffman skein relations. We prove that the two versions are isomorphic, and we show that these algebras are free over any ground ring, with a basis similar to a well known basis of the affine Hecke algebra.
Kennth A. Brwon (1991)
Mathematische Zeitschrift
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Hans Wenzl (1988)
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I. G. MacDonald (1994-1995)
Séminaire Bourbaki
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G.J. Heckman (1990)
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J. LEHNER, A.O.L. ATKIN (1970)
Mathematische Annalen
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Toshio Oshima, Jiro Sekiguchi (1980)
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Jan-Erik Björk (1972)
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Matej Brešar, Yuri V. Turovskii (2007)
Studia Mathematica
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Various topics concerning compact elementary operators on Banach algebras are studied: their ranges, their coefficients, and the structure of algebras having nontrivial compact elementary operators. In the first part of the paper we consider separately elementary operators of certain simple types. In the second part we obtain our main results which deal with general elementary operators.
G. J. Heckman (1996-1997)
Séminaire Bourbaki
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