Unique factorization of tensor products for Kac-Moody Algebras (Record no. 48876)
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| 000 -LEADER | |
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| fixed length control field | 01496nam a2200253Ia 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160627s2013||||xx |||||||||||||| ||und|| |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | HBNI Th55 |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Venkatesh, R. |
| Relator term | author |
| 245 ## - TITLE STATEMENT | |
| Title | Unique factorization of tensor products for Kac-Moody Algebras |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Year of publication | 2013 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 38p. |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | 2013 |
| 502 ## - DISSERTATION NOTE | |
| Degree Type | Ph.D |
| 502 ## - DISSERTATION NOTE | |
| Name of granting institution | HBNI |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc | In the first part, we address a fundamental question, unique factorization of tensor products, that arises in representation theory. We consider integrable, category O modules of indecomposable symmetrizable Kac-Moody algebras. We prove that unique factorization of tensor products of irreducible modules holds in this category, upto twisting by one dimensional modules. This generalizes a fundamental theorem of Rajan for finite dimensional simple Lie algebras over C. Our proof is new even for the finite dimensional case, and uses an interplay of representation theory and combinatorics to analyze the Kac-Weyl character formula. In the second part, we get a new interpretation of the chromatic polynomials using Kac-Moody theory and derive some of its properties using this new interpretation. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | HBNI Th55 |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Kac-Moody Algebras |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Tensor Products |
| 720 1# - ADDED ENTRY--UNCONTROLLED NAME | |
| Thesis Advisor | Viswanath, S. |
| Relator term | Thesis advisor [ths] |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://www.imsc.res.in/xmlui/handle/123456789/341 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | THESIS & DISSERTATION |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Full call number | Accession Number | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|---|---|
| IMSc Library | HBNI Th55 | 68695 | http://www.imsc.res.in/xmlui/handle/123456789/341 | THESIS & DISSERTATION |