Coverart for item
The Resource Cohomology for quantum groups via the geometry of the nullcone, Christopher P. Bendel, Daniel K. Nakano, Brian J. Parshall, Cornelius Pillen, (electronic resource)

Cohomology for quantum groups via the geometry of the nullcone, Christopher P. Bendel, Daniel K. Nakano, Brian J. Parshall, Cornelius Pillen, (electronic resource)

Label
Cohomology for quantum groups via the geometry of the nullcone
Title
Cohomology for quantum groups via the geometry of the nullcone
Statement of responsibility
Christopher P. Bendel, Daniel K. Nakano, Brian J. Parshall, Cornelius Pillen
Creator
Contributor
Subject
Language
eng
Cataloging source
DLC
http://library.link/vocab/creatorDate
1969-
http://library.link/vocab/creatorName
Bendel, Christopher P.
Index
no index present
Language note
Text in English
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
  • 1964-
  • 1945-
  • 1959-
http://library.link/vocab/relatedWorkOrContributorName
  • Nakano, Daniel K.
  • Parshall, Brian
  • Pillen, Cornelius
  • American Mathematical Society
Series statement
Memoirs of the American Mathematical Society,
Series volume
volume 229, number 1077
http://library.link/vocab/subjectName
  • Cohomology operations
  • Algebraic topology
Label
Cohomology for quantum groups via the geometry of the nullcone, Christopher P. Bendel, Daniel K. Nakano, Brian J. Parshall, Cornelius Pillen, (electronic resource)
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 89-93)
Contents
Preliminaries and Statement of results -- Some preliminary notation -- Main results -- Quantum groups, actions, and cohomology -- Listings -- Quantum enveloping algebras -- Connections with algebraic groups -- Root vectors and PBW-basis -- Levi and parabolic subalgebras -- The subalgebra Uq(uj) -- Adjoint action -- Finite dimensionality of cohomology groups -- Spectral sequences and Euler characteristic -- Induction functors -- Computation of and N -- Subroot systems defined by weights -- The case of the classical Lie algebras -- Standardizing -- Resolution of singularities -- Normality of orbit closures -- Combinatorics and the Steinberg Module -- Steinberg weights -- Weights of -- Multiplicity of the Steinberg module -- Proof of Proposition 4.2.1 -- The weight -- Types Bn, Cn, Dn -- Type An -- Type An with l dividing n + 1 -- Exceptional Lie algebras -- The Cohomology Algebra H -- Spectral sequences, I -- Spectral sequences, II -- An identification theorem -- Spectral sequences, III -- Proof of main result, Theorem 1.2.3, I -- Spectral sequences, IV -- Proof of the main result, Theorem 1.2.3, II -- Finite Generation -- A finite generation result -- Proof of part (a) of Theorem 1.2.4 -- Proof of part (b) of Theorem 1.2.4 -- Comparison with Positive Characteristic -- The setting -- Assumptions -- Consequences -- Special cases -- Support Varieties over for the Modules and -- Quantum support varieties -- Lower bounds on the dimensions of support varieties -- Support varieties of : general results -- Support varieties of when l is good -- A question of naturality of support varieties -- The Constrictor Method I -- The Constrictor Method II -- Support varieties of when l is bad -- E6 when 3 l -- F4 when 3 l -- E7 when 3 l -- E8 when 3 l, 5 l -- Support varieties of when l is bad. 650 0 $a Cohomology operations
Control code
ssj0001108985
Dimensions
unknown
Extent
1 online resource (ix, 93 pages)
Form of item
online
Governing access note
Access restricted to subscribing institutions
Isbn
9780821891759
Isbn Type
(pbk. : acid-free paper)
Lccn
2013051269
Specific material designation
remote
System control number
(WaSeSS)ssj0001108985
Label
Cohomology for quantum groups via the geometry of the nullcone, Christopher P. Bendel, Daniel K. Nakano, Brian J. Parshall, Cornelius Pillen, (electronic resource)
Publication
Bibliography note
Includes bibliographical references (pages 89-93)
Contents
Preliminaries and Statement of results -- Some preliminary notation -- Main results -- Quantum groups, actions, and cohomology -- Listings -- Quantum enveloping algebras -- Connections with algebraic groups -- Root vectors and PBW-basis -- Levi and parabolic subalgebras -- The subalgebra Uq(uj) -- Adjoint action -- Finite dimensionality of cohomology groups -- Spectral sequences and Euler characteristic -- Induction functors -- Computation of and N -- Subroot systems defined by weights -- The case of the classical Lie algebras -- Standardizing -- Resolution of singularities -- Normality of orbit closures -- Combinatorics and the Steinberg Module -- Steinberg weights -- Weights of -- Multiplicity of the Steinberg module -- Proof of Proposition 4.2.1 -- The weight -- Types Bn, Cn, Dn -- Type An -- Type An with l dividing n + 1 -- Exceptional Lie algebras -- The Cohomology Algebra H -- Spectral sequences, I -- Spectral sequences, II -- An identification theorem -- Spectral sequences, III -- Proof of main result, Theorem 1.2.3, I -- Spectral sequences, IV -- Proof of the main result, Theorem 1.2.3, II -- Finite Generation -- A finite generation result -- Proof of part (a) of Theorem 1.2.4 -- Proof of part (b) of Theorem 1.2.4 -- Comparison with Positive Characteristic -- The setting -- Assumptions -- Consequences -- Special cases -- Support Varieties over for the Modules and -- Quantum support varieties -- Lower bounds on the dimensions of support varieties -- Support varieties of : general results -- Support varieties of when l is good -- A question of naturality of support varieties -- The Constrictor Method I -- The Constrictor Method II -- Support varieties of when l is bad -- E6 when 3 l -- F4 when 3 l -- E7 when 3 l -- E8 when 3 l, 5 l -- Support varieties of when l is bad. 650 0 $a Cohomology operations
Control code
ssj0001108985
Dimensions
unknown
Extent
1 online resource (ix, 93 pages)
Form of item
online
Governing access note
Access restricted to subscribing institutions
Isbn
9780821891759
Isbn Type
(pbk. : acid-free paper)
Lccn
2013051269
Specific material designation
remote
System control number
(WaSeSS)ssj0001108985

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