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20240329122006.0 |
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150417t20132013riu ob 000 0 eng d |
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|a E7B
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|d EBLCP
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|z (OCoLC)922981431
|z (OCoLC)1259174520
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|a QA169
|b .C646 2013eb
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|a 512/.55
|2 23
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|a UAMI
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|a Cohomology for quantum groups via the geometry of the nullcone /
|c Christopher P. Bendel [and three others].
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|a Providence, Rhode Island :
|b American Mathematical Society,
|c 2013.
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|c ©2013
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| 300 |
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|a 1 online resource (110 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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|a online resource
|b cr
|2 rdacarrier
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| 490 |
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|a Memoirs of the American Mathematical Society,
|x 1947-6221 ;
|v Volume 229, Number 1077
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| 500 |
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|a "Volume 229, Number 1077 (fourth of 5 numbers)."
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| 504 |
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|a Includes bibliographical references.
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|a Print version record.
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|a Contents -- Introduction -- Chapter 1. Preliminaries and Statement of Results -- 1.1. Some preliminary notation -- 1.2. Main results -- Chapter 2. Quantum Groups, Actions, and Cohomology -- 2.1. Listings -- 2.2. Quantum enveloping algebras -- 2.3. Connections with algebraic groups -- 2.4. Root vectors and PBW-basis -- 2.5. Levi and parabolic subalgebras -- 2.6. The subalgebra _{ }(_{ }) -- 2.7. Adjoint action -- 2.8. Finite dimensionality of cohomology groups -- 2.9. Spectral sequences and the Euler characteristic -- 2.10. Induction functors
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|a ""Chapter 3. Computation of Î?â?€ and (Î?â?€)""""3.1. Subroot systems defined by weights""; ""3.2. The case of the classical Lie algebras""; ""3.3. The case of the exceptional Lie algebras""; ""3.4. Standardizing Î?â?€""; ""3.5. Resolution of singularities""; ""3.6. Normality of orbit closures""; ""Chapter 4. Combinatorics and the Steinberg Module""; ""4.1. Steinberg weights""; ""4.2. Weights of Î?^{â??}_{, }""; ""4.3. Multiplicity of the Steinberg module""; ""4.4. Proof of Proposition 4.2.1""; ""4.5. The weight _{ }""; ""4.6. Types _{ }, _{ }, _{ }""; ""4.7. Type _{ }""
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|a ""4.8. Type _{ } with dividing +1""""4.9. Exceptional Lie algebras""; ""Chapter 5. The Cohomology Algebra ^{â??}(_{ }(), â??)""; ""5.1. Spectral sequences, I""; ""5.2. Spectral sequences, II""; ""5.3. An identification theorem""; ""5.4. Spectral sequences, III""; ""5.5. Proof of main result, Theorem 1.2.3, I""; ""5.6. Spectral sequences, IV""; ""5.7. Proof of the main result, Theorem 1.2.3, II""; ""Chapter 6. Finite Generation""; ""6.1. A finite generation result""; ""6.2. Proof of part (a) of Theorem 1.2.4""; ""6.3. Proof of part (b) of Theorem 1.2.4""
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|a ""Chapter 7. Comparison with Positive Characteristic""""7.1. The setting""; ""7.2. Assumptions""; ""7.3. Consequences""; ""7.4. Special cases""; ""Chapter 8. Support Varieties over _{ } for the Modules â??_{ }() and Î?_{ }()""; ""8.1. Quantum support varieties""; ""8.2. Lower bounds on the dimensions of support varieties""; ""8.3. Support varieties of â??_{ }(): general results""; ""8.4. Support varieties of Î?_{ }() when is good""; ""8.5. A question of naturality of support varieties""; ""8.6. The Constrictor Method I""; ""8.7. The Constrictor Method II""
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|a ""8.8. Support varieties of â??_{ }() when is bad""""8.9. â?? when 3\mid ""; ""8.10. â?? when 3\mid ""; ""8.11. â?? when 3\mid ""; ""8.12. â?? when 3\mid, 5\mid ""; ""8.13. Support varieties of Î?_{ }() when is bad""; ""Appendix A.""; ""A.1. Tables I""; ""A.2. Tables II""; ""Bibliography""
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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 Cohomology operations.
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| 650 |
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0 |
|a Algebraic topology.
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| 650 |
|
6 |
|a Opérations cohomologiques.
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| 650 |
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6 |
|a Topologie algébrique.
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| 650 |
|
7 |
|a Algebraic topology
|2 fast
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| 650 |
|
7 |
|a Cohomology operations
|2 fast
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| 700 |
1 |
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|a Bendel, Christopher P.,
|d 1969-
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PCjvwHTYVgWqvhXxYrByBKd
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| 758 |
|
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|i has work:
|a Cohomology for quantum groups via the geometry of the nullcone (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCFrpPhMkwC8DrqQGCBjm7d
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
| 776 |
0 |
8 |
|i Print version:
|t Cohomology for quantum groups via the geometry of the nullcone.
|d Providence, Rhode Island : American Mathematical Society, ©2013
|h ix, 93 pages
|k Memoirs of the American Mathematical Society ; Volume 229, Number 1077
|x 1947-6221
|z 9780821891759
|
| 830 |
|
0 |
|a Memoirs of the American Mathematical Society ;
|v Volume 229, no. 1077.
|
| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114224
|z Texto completo
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| 936 |
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|a BATCHLOAD
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| 938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL3114224
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| 938 |
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|a ebrary
|b EBRY
|n ebr11039843
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| 994 |
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|a 92
|b IZTAP
|
