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|2 23
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|a UAMI
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1 |
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|a Blasiak, Jonah,
|d 1982-
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PCjqvcTkrfyQV6Xjty9664y
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| 245 |
1 |
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|a Geometric complexity theory IV :
|b nonstandard quantum group for the Kronecker problem /
|c Jonah Blasiak, Ketan D. Mulmuley, Milind Sohoni.
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| 264 |
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1 |
|a Providence, Rhode Island :
|b American Mathematical Society,
|c 2014.
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| 264 |
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4 |
|c ©2014
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| 300 |
|
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|a 1 online resource (176 pages)
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| 336 |
|
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a Memoirs of the American Mathematical Society,
|x 1947-6221 ;
|v Volume 235, Number 1109 (fourth of 5 numbers)
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| 504 |
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|a Includes bibliographical references.
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| 588 |
0 |
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|a Print version record.
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|a Cover -- Title page -- Chapter 1. Introduction -- 1.1. The Kronecker problem -- 1.2. The basis-theoretic version of the Kronecker problem -- 1.3. Canonical bases connect quantum Schur-Weyl duality with RSK -- 1.4. The nonstandard quantum group and Hecke algebra -- 1.5. Towards an upper canonical basis for \nsbr{ }^{\tsr } -- 1.6. The approach of Adsul, Sohoni, and Subrahmanyam -- 1.7. A global crystal basis for \nsbr{ }_{ } -- 1.8. Organization -- Chapter 2. Basic concepts and notation -- 2.1. General notation -- 2.2. Tensor products
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| 505 |
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|a 2.3. Words and tableaux2.4. Cells -- 2.5. Comodules -- 2.6. Dually paired Hopf algebras -- Chapter 3. Hecke algebras and canonical bases -- 3.1. The upper canonical basis of â??() -- 3.2. Cells in type -- Chapter 4. The quantum group _{ }() -- 4.1. The quantized enveloping algebra \Uq -- 4.2. FRT-algebras -- 4.3. The quantum coordinate algebra Ã?(_{ }()) -- 4.4. The quantum determinant and the Hopf algebra Ã?(_{ }()) -- 4.5. A reduction system for Ã?(_{ }()) -- 4.6. Compactness, unitary transformations
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|a 4.7. Representations of _{ }()Chapter 5. Bases for _{ }() modules -- 5.1. Gelfand-Tsetlin bases and Clebsch-Gordon coefficients -- 5.2. Crystal bases -- 5.3. Global crystal bases -- 5.4. Projected based modules -- 5.5. Tensor products of based modules -- Chapter 6. Quantum Schur-Weyl duality and canonical bases -- 6.1. Commuting actions on \bT= ^{\tsr } -- 6.2. Upper canonical basis of \bT -- 6.3. Graphical calculus for _{ }(\glâ??)-modules -- Chapter 7. Notation for _{ }()Ã? _{ }()
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|a Chapter 8. The nonstandard coordinate algebra (â?³_{ }())8.1. Definition of Ã?(_{ }(\nsbr{ })) -- 8.2. Nonstandard symmetric and exterior algebras -- 8.3. Explicit product formulae -- 8.4. Examples and computations for Ã?(_{ }(\nsbr{ })) -- Chapter 9. Nonstandard determinant and minors -- 9.1. Definitions -- 9.2. Nonstandard minors in the two-row case -- 9.3. Symmetry of the determinants and minors -- 9.4. Formulae for nonstandard minors -- Chapter 10. The nonstandard quantum groups _{ }() and _{ }() -- 10.1. Hopf structure
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|a 10.2. Compact real form10.3. Complete reducibility -- Chapter 11. The nonstandard Hecke algebra â??áæ£ -- 11.1. Definition of \nsHáæ£ and basic properties -- 11.2. Semisimplicity of \field\nsHáæ£ -- 11.3. Representation theory of ²â??áæ£ -- 11.4. Some representation theory of \nsHáæ£ -- 11.5. The sign representation in the canonical basis -- 11.6. The algebra \nsHâ?? -- 11.7. A canonical basis of \nsHâ?? -- 11.8. The algebra \nsHâ?? -- Chapter 12. Nonstandard Schur-Weyl duality -- 12.1. Nonstandard Schur-Weyl duality
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| 546 |
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|a English.
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 650 |
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0 |
|a Combinatorial analysis.
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| 650 |
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0 |
|a Kronecker products.
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| 650 |
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6 |
|a Analyse combinatoire.
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| 650 |
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6 |
|a Produits de Kronecker.
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| 650 |
|
7 |
|a Combinatorial analysis
|2 fast
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| 650 |
|
7 |
|a Kronecker products
|2 fast
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| 700 |
1 |
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|a Mulmuley, Ketan,
|e author.
|
| 700 |
1 |
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|a Sohoni, Milind,
|d 1969-
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PCjx4YbGgDyH47wcTWtMCcd
|
| 758 |
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|i has work:
|a Geometric complexity theory IV (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGmd89JKWY9kmmPRJcJKv3
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
| 776 |
0 |
8 |
|i Print version:
|a Blasiak, Jonah, 1982-
|t Geometric complexity theory IV : nonstandard quantum group for the Kronecker problem.
|d Providence, Rhode Island : American Mathematical Society, ©2014
|h ix, 160 pages
|k Memoirs of the American Mathematical Society ; Volume 235, Number 1109 (fourth of 5 numbers)
|x 1947-6221
|z 9781470410117
|
| 830 |
|
0 |
|a Memoirs of the American Mathematical Society ;
|v Volume 235, no. 1109 (fourth of 5 numbers)
|
| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114336
|z Texto completo
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| 936 |
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|a BATCHLOAD
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|b EBLB
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|a ebrary
|b EBRY
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