Universal Verma Modules and the Misra-Miwa Fock Space
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-01-11
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
The Misra-Miwa v-deformed Fock space is a representation of the quantized affine algebra Uv(sl^ℓ).
It has a standard basis indexed by partitions, and the nonzero matrix entries of the action of the Chevalley generators with respect to this basis are powers of v.
Partitions also index the polynomial Weyl modules for Uq(glN) as N tends to infinity.
We explain how the powers of v which appear in the Misra-Miwa Fock space also appear naturally in the context of Weyl modules.
The main tool we use is the Shapovalov determinant for a universal Verma module.
American Psychological Association (APA)
Ram, Arun& Tingley, Peter. 2011. Universal Verma Modules and the Misra-Miwa Fock Space. International Journal of Mathematics and Mathematical Sciences،Vol. 2010, no. 2010, pp.1-19.
https://search.emarefa.net/detail/BIM-463716
Modern Language Association (MLA)
Ram, Arun& Tingley, Peter. Universal Verma Modules and the Misra-Miwa Fock Space. International Journal of Mathematics and Mathematical Sciences No. 2010 (2010), pp.1-19.
https://search.emarefa.net/detail/BIM-463716
American Medical Association (AMA)
Ram, Arun& Tingley, Peter. Universal Verma Modules and the Misra-Miwa Fock Space. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2010, no. 2010, pp.1-19.
https://search.emarefa.net/detail/BIM-463716
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-463716