TY - BOOK AU - Bendel,Christopher P. AU - Nakano,Daniel K. AU - Parshall,Brian AU - Pillen,Cornelius ED - American Mathematical Society. TI - Cohomology for quantum groups via the geometry of the nullcone T2 - Memoirs of the American Mathematical Society, SN - 9781470415310 (online) AV - QA169 .B46 2014 U1 - 512/.55 23 PY - 2014/// CY - Providence, Rhode Island PB - American Mathematical Society KW - Cohomology operations KW - Algebraic topology N1 - Includes bibliographical references (pages 89-93); Introduction; Chapter 1. Preliminaries and Statement of Results; Chapter 2. Quantum Groups, Actions, and Cohomology; Chapter 3. Computation of $\Phi _{0}$ and ${\mathcal N}(\Phi _{0})$; Chapter 4. Combinatorics and the Steinberg Module; Chapter 5. The Cohomology Algebra $\operatorname {H}^{\bullet }(u_{\zeta }(\mathfrak {g}),\mathbb {C})$; Chapter 6. Finite Generation; Chapter 7. Comparison with Positive Characteristic; Chapter 8. Support Varieties over $u_{\zeta }$ for the Modules $\nabla _{\zeta }(\lambda )$ and $\Delta _{\zeta }(\lambda )$; Appendix A; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2014 UR - http://www.ams.org/memo/1077/ UR - http://dx.doi.org/10.1090/memo/1077 ER -