scholarly journals Graded-simple algebras and cocycle twisted loop algebras

2019 ◽  
Vol 147 (7) ◽  
pp. 2821-2833 ◽  
Author(s):  
Alberto Elduque
Keyword(s):  
Loop Algebras ◽  
Simple Algebras

scholarly journals Realization of graded-simple algebras as loop algebras

2008 ◽  
Vol 20 (3) ◽  
Author(s):  
Bruce Allison ◽  
Stephen Berman ◽  
John Faulkner ◽  
Arturo Pianzola
Keyword(s):  
Loop Algebras ◽  
Simple Algebras

scholarly journals Wilson loop algebras and quantum K-theory for Grassmannians

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Hans Jockers ◽  
Peter Mayr ◽  
Urmi Ninad ◽  
Alexander Tabler
Keyword(s):  
Wilson Loop ◽  
Gauge Theories ◽  
Wilson Line ◽  
Quantum Cohomology ◽  
Three Dimensional ◽  
Loop Algebra ◽  
Loop Algebras ◽  
Verlinde Algebra ◽  
K Theory ◽  
Chern Simons

Abstract We study the algebra of Wilson line operators in three-dimensional $$ \mathcal{N} $$ N = 2 supersymmetric U(M ) gauge theories with a Higgs phase related to a complex Grassmannian Gr(M, N ), and its connection to K-theoretic Gromov-Witten invariants for Gr(M, N ). For different Chern-Simons levels, the Wilson loop algebra realizes either the quantum cohomology of Gr(M, N ), isomorphic to the Verlinde algebra for U(M ), or the quantum K-theoretic ring of Schubert structure sheaves studied by mathematicians, or closely related algebras.

Simple algebras in varieties

1982 ◽  
Vol 14 (1) ◽  
pp. 36-43 ◽  
Author(s):  
W. A. Lampe ◽  
W. Taylor
Keyword(s):  
Simple Algebras
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