Learning seminar on coideal subalgebras

Spring 2016 Schedule

Location: Fridays, 10am - 12pm at HU1018

Jan 29 Coideal subalgebras-background, generators, Harish-Chandra modules, examples. [L, Sections 1-6]

Speaker: Khoa Pham. Notes

Feb 5 Quantum symmetric pairs. [L, Section 7], [D], [Kn]

Speaker: Peter Crooks. Notes

Feb 12 Lie superalgebras. [CCF], [Ka1], [Ka2], [M]

Speaker: Khoa Pham. Notes

Feb 19 On the geometry of the Feigin-Odesskii Poisson structures on CP^n.

Guest speaker: Mykola Matviichuk. Notes

Feb 26 Quantum symmetric Kac-Moody pairs I. [Ko], [A]

Speaker: Alex Weekes. Notes

Mar 4 Quantum symmetric Kac-Moody pairs II. [Ko], [MRS], [HKS]

Speaker: Alex Weekes. Notes

Mar 11 Canonical bases, Hecke algebras, and Kazhdan-Lusztig bases. [Hu], [T]

Speaker: Anne Dranovski. Notes

Mar 18 Categorification and dualities I. [ES], [Hu2]

Speaker: Iva Halacheva. Notes

Mar 25 Categorification and dualities II. [ES]

Speaker: Iva Halacheva

Apr 1 Canonical bases from quantum symmetric pairs I. [BW]

Speaker: Chia-Cheng Liu

Apr 8 Canonical bases from quantum symmetric pairs II. [BW]

Speaker: Chia-Cheng Liu

Bibliography

[A] S. Araki, On root systems and an infinitesimal classification of irreducible symmetric spaces

[BW] H. Bao, W. Wang, A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs

[CCF] C. Carmeli, L. Caston, R. Fioresi, Mathematical foundations of supersymmetry

[D] M. Dijkhuizen, Some remarks on the construction of quantum symmetric spaces

[ES] M. Ehrig, C. Stroppel, Nazarov-Wenzl algebras, coideal subalgebras and categorified skew Howe duality

[HKS] I. Heckenberger, S. Kolb, J. Stokman, Oberwolfach Mini-Workshop: Coideal subalgebras of quantum groups

[Hu] J. Humphreys, Reflection groups and Coxeter groups

[Hu2] J. Humphreys, Representations of semisimple Lie algebras in the BGG category O

[Ka1] V. Kac, A sketch of Lie superalgebra theory

[Ka2] V. Kac, Lie superalgebras

[Kn] A. Knapp, Lie groups beyond an introduction

[Ko] S. Kolb, Quantum symmetric Kac-Moody pairs

[L] G. Letzter, Coideal subalgebras and quantum symmetric pairs

[MRS] A. I. Molev, E. Ragoucy, P. Sorba, Coideal subalgebras in quantum affine algebras

[M] I. Musson, Lie superalgebras and enveloping algebras

[S] S. Helgason, Differential geometry, Lie groups, and symmetric spaces

[T] P. Tingley, Elementary construction of Lusztig's canonical basis