On the Quasi-Heredity of Birman–Wenzl Algebras☆

By Changchang Xi. 2000

100 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/81b06a43b04a2e82529ac8fb51d4710c5ebe6932

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Andrew Mathas
2. S. Ariki
3. G. Lehrer
4. Hebing Rui
5. Ruibin Zhang
6. Jonathan Brundan
7. Alexander S. Kleshchev
8. Matthew Baker

In Geometry and Topology

1. Andrew Mathas
2. Hebing Rui
3. S. Ariki
4. G. Lehrer
5. Ruibin Zhang
6. Jonathan Brundan
7. Alexander S. Kleshchev
8. Monica Vazirani

In Statistical and Nonlinear Physics

1. G. Lehrer
2. Ruibin Zhang
3. Andrew Mathas
4. Hebing Rui
5. S. Ariki

Citations in the corpus

• THE SECOND FUNDAMENTAL THEOREM OF INVARIANT THEORY FOR THE ORTHOGONAL GROUP (2011, background): “ write here as Iλ. It is part of the general theory of cellular algebras that the non-zero Iλ form a complete set of representatives of the isomorphism classes of Br(n). Now Br(δ) is quasi-hereditary [21] whenever δ 6= 0, from which it follows that the Iλare each non-zero, and therefore that the irr”
• Cyclotomic Nazarov-Wenzl Algebras (2005, methodology): “The Brauer algebras have now been studied by many authors and they have applications ranging from Lie theory, to combinatorics and knot theory; see, for example, [BW89,Bro56,DWH99,Eny04,FG95,HW89a,HW89b,Jon94,Mar96,Naz96, Rui05, Ter01, Wen88, Xi00].”