Complex reflection groups

introduction

• arrangement of hyperplanes

 

 

related items

• Hypergeometric series

 

books

• Hiller, Howard Geometry of Coxeter groups. Research Notes in Mathematics, 54. Pitman (Advanced Publishing Program), Boston, Mass.-London, 1982. iv+213 pp. ISBN 0-273-08517-4 [1]

encyclopedia

• http://en.wikipedia.org/wiki/Complex_reflection_group

 

 

expositions

• Shoji, Toshiaki. “Springer Correspndence for Complex Reflection Groups.” arXiv:1511.03353 [math], November 10, 2015. http://arxiv.org/abs/1511.03353.
• Cohen, Arjeh M. ‘Finite Complex Reflection Groups’. Annales Scientifiques de l’École Normale Supérieure 9, no. 3 (1976): 379–436. http://www.numdam.org/numdam-bin/fitem?id=ASENS_1976_4_9_3_379_0 Finite complex reflection groups

articles

• Ivan Marin, Homology computations for complex braid groups II, arXiv:1605.06953 [math.GR], May 23 2016, http://arxiv.org/abs/1605.06953
• Robert Laugwitz, On Fomin--Kirillov Algebras for Complex Reflection Groups, arXiv:1605.00227 [math.QA], May 01 2016, http://arxiv.org/abs/1605.00227
• Gaiffi, Giovanni. ‘Exponential Formulas for Models of Complex Reflection Groups’. arXiv:1507.02090 [math], 8 July 2015. http://arxiv.org/abs/1507.02090.
• Kosuda, Masashi, and Manabu Oura. ‘Centralizer Algebras of the Primitive Unitary Reflection Group of Order $96$’. arXiv:1505.00318 [math], 2 May 2015. http://arxiv.org/abs/1505.00318.
• Schwartz, Richard Evan. “Complex Hyperbolic Triangle Groups.” arXiv:math/0304268, April 18, 2003. http://arxiv.org/abs/math/0304268.
• Broué, Michel; Malle, Gunter; Rouquier, Raphaël (1995), "On complex reflection groups and their associated braid groups", Representations of groups (Banff, AB, 1994), CMS Conf. Proc., 16, Providence, R.I.: American Mathematical Society, pp. 1–13, MR1357192, http://www.maths.leeds.ac.uk/~rouquier/papers/banff.pdf
• Broué, Michel; Malle, Gunter; Rouquier, Raphaël (1998), "Complex reflection groups, braid groups, Hecke algebras", Journal für die reine und angewandte Mathematik500: 127–190, MR1637497, ISSN0075-4102, http://citeseer.ist.psu.edu/cache/papers/cs/14118/http:zSzzSzwww.math.jussieu.frzSz~rouquierzSzpreprintszSzbrmaro.pdf/complex-reflection-groups-braid.pdf
• Smith, Larry. “On the Invariant Theory of Finite Pseudo Reflection Groups.” Archiv Der Mathematik 44, no. 3 (March 1985): 225–28. doi:10.1007/BF01237854 http://www.springerlink.com/content/km47220t175l6652/
• Deligne, Pierre (1972), "Les immeubles des groupes de tresses généralisés", Inventiones Mathematicae17: 273–302, doi:10.1007/BF01406236, MR0422673, ISSN0020-9910