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[null,"1.","Record Nr.",null,"UNINA9910787196603321"]
[null,null,"Autore",null,"Bendel Christopher P. <1969->"]
[null,null,"Titolo",null,"Cohomology for quantum groups via the geometry of the nullcone / / Christopher P. Bendel [and three others]"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2013"]
[{"$nulls":4},"©2013"]
[null,null,"ISBN",null,"1-4704-1531-3"]
[null,null,"Descrizione fisica",null,"1 online resource (110 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 229, Number 1077"]
[null,null,"Disciplina",null,"512/.55"]
[null,null,"Soggetti",null,"Cohomology operations"]
[{"$nulls":4},"Algebraic topology"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[{"$nulls":3},"Livello bibliografico","Monografia"]
[{"$nulls":3},"Note generali","\"Volume 229, Number 1077 (fourth of 5 numbers).\""]
[{"$nulls":3},"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Introduction\"\"; \"\"Chapter 1. Preliminaries and Statement of Results\"\"; \"\"1.1. Some preliminary notation\"\"; \"\"1.2. Main results\"\"; \"\"Chapter 2. Quantum Groups, Actions, and Cohomology\"\"; \"\"2.1. Listings\"\"; \"\"2.2. Quantum enveloping algebras\"\"; \"\"2.3. Connections with algebraic groups\"\"; \"\"2.4. Root vectors and PBW-basis\"\"; \"\"2.5. Levi and parabolic subalgebras\"\"; \"\"2.6. The subalgebra   _{  }(  _{  })\"\"; \"\"2.7. Adjoint action\"\"; \"\"2.8. Finite dimensionality of cohomology groups\"\"; \"\"2.9. Spectral sequences and the Euler characteristic\"\"; \"\"2.10. Induction functors\"\""]
[{"$nulls":4},"\"\"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   _{  }\"\""]
[{"$nulls":4},"\"\"4.8. Type   _{  } with    dividing   +1\"\"\"\"4.9. Exceptional Lie algebras\"\"; \"\"Chapter 5. The Cohomology Algebra   ^{â??}(  _{  }(  ),â??)\"\"; \"\"5.1. Spectral sequences, I\"\"; \"\"5.2. Spectral sequences, II\"\"; \"\"5.3. An identification theorem\"\"; \"\"5.4. Spectral sequences, III\"\"; \"\"5.5. Proof of main result, Theorem 1.2.3, I\"\"; \"\"5.6. Spectral sequences, IV\"\"; \"\"5.7. Proof of the main result, Theorem 1.2.3, II\"\"; \"\"Chapter 6. Finite "]
[{"$nulls":4},"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\"\""]
[{"$nulls":4},"\"\"Chapter 7. Comparison with Positive Characteristic\"\"\"\"7.1. The setting\"\"; \"\"7.2. Assumptions\"\"; \"\"7.3. Consequences\"\"; \"\"7.4. Special cases\"\"; \"\"Chapter 8. Support Varieties over   _{  } for the Modules â??_{  }(  ) and Î?_{  }(  )\"\"; \"\"8.1. Quantum support varieties\"\"; \"\"8.2. Lower bounds on the dimensions of support varieties\"\"; \"\"8.3. Support varieties of â??_{  }(  ): general results\"\"; \"\"8.4. Support varieties of Î?_{  }(  ) when    is good\"\"; \"\"8.5. A question of naturality of support varieties\"\"; \"\"8.6. The Constrictor Method I\"\"; \"\"8.7. The Constrictor Method II\"\""]
[{"$nulls":4},"\"\"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\"\""]