The t-analogue of string functions for the affine Kac-Moody algebras (Record no. 48858)
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| 000 -LEADER | |
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| fixed length control field | 01894nam 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 Th54 |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Sachin Sharma |
| Relator term | author |
| 245 #4 - TITLE STATEMENT | |
| Title | The t-analogue of string functions for the affine Kac-Moody algebras |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Year of publication | 2013 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 68p. |
| 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 | The author studies Lusztig's t-analogue of weight multiplicities associated to the irreducible integrable highest weight modules of affine Kac-Moody algebras. First, for the level one representation of twisted affine Kac-Moody algebras, obtained an explicit closed form expression for the corresponding t-string function using constant term identities of Macdonald and Cherednik. The closed form involves the generalised exponents of the graded pieces of the twisted affine algebra, considered as modules for the underlying finite dimensional simple Lie algebra. This extends previous work on level 1 t-string functions for the untwisted simply-laced affine Kac-Moody algebras. Next, for the Lie algebra A(1) 1 , the author gives a basis for the weight spaces of its basic representation, which is compatible with the affine Brylinski-Kostant filtration defined by Slofstra. Using this basis, given an alternative derivation of the expression for the t-string function of the basic representation. Finally, obtained explicit formula for the t-string function of irreducible integrable highest weight A(1) 1 -modules of all levels. This is generalisation of a theorem of Kac and Peterson. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | HBNI Th54 |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Kac-Moody Algebras |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | t-String functions |
| 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/123456789/340 |
| 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 Th54 | 68391 | http://www.imsc.res.in/xmlui/handle/123456789/340 | THESIS & DISSERTATION |