New York Journal of Mathematics
Volume 25 (2019), 71-106


Marijana Butorac and Christopher Sadowski

Combinatorial bases of principal subspaces of modules for twisted affine Lie algebras of type A2l-1(2), Dl(2), E6(2) and D4(3)

view    print

Published: January 5, 2019.
Keywords: twisted affine Lie algebras, vertex operator algebras, principal subspaces, twisted quasi-particle bases.
Subject: Primary 17B67; Secondary 17B69, 05A19.

We construct combinatorial bases of principal subspaces of standard modules of level k ≥ 1 with highest weight kΛ0 for the twisted affine Lie algebras of type A2l-1(2), Dl(2), E6(2) and D4(3). Using these bases we directly calculate characters of principal subspaces.


We are grateful to Mirko Primc for his useful comments and support. The first named author would also like to thank Drazen Adamovic. The first author is partially supported by the Croatian Science Foundation under the project 2634 and by the QuantiXLie Centre of Excellence, a project cofinanced by the Croatian Government and European Union through the European Regional Development Fund - the Competitiveness and Cohesion Operational Programme (Grant KK.

Author information

Marijana Butorac:
Department of Mathematics
University of Rijeka
Radmile Matejcic 2, 51 000 Rijeka, Croatia


Christopher Sadowski:
Department of Mathematics and Computer Science
Ursinus College
Collegeville, PA 19426, USA