Alternating Subalgebras of Hecke Algebras and Alternating Subgroups of Braid Groups

REFERENCES

• Bourbaki , N. ( 2002 ). Groupes et Algèbres de Lie. Springer .
   Google Scholar
• Brenti , F. , Reiner , V. , Roichman , Y. ( 2008 ). Alternating subgroups of Coxeter groups . J. Combin. Theo. A 115 ( 5 ): 845 – 877 .
   Web of Science ®Google Scholar
• Casselman , B. ( 2011 ). The construction of Hecke algebras associated to a Coxeter group. In: Harmonic Analysis on Reductive, p-adic Groups. Contemporary Math. 543:91–102 .
   Google Scholar
• Eriksson , K. ( 1994 ). A combinatorial proof of the existence of the generic Hecke algebra and R-polynomials . Math. Scand. 75 : 169 – 177 .
   Web of Science ®Google Scholar
• Etingof , P. , Rains , E. ( 2008 ). New deformations of Coxeter groups II . Geom. Funct. Anal. 17 : 1851 – 1871 .
   Web of Science ®Google Scholar
• Humphreys , J. ( 1990 ). Reflection Groups and Coxeter Groups . Cambridge : Cambridge University Press .
   Google Scholar
• Lyndon , R. , Schupp , P. (1977). Combinatorial Group Theory . Berlin : Springer-Verlag.
   Google Scholar
• Mitsuhashi , H. ( 2001 ). The q-analogue of the alternating group and its representations . J. Algebra 240 ( 2 ): 535 – 558 .
   Web of Science ®Google Scholar
• Mitsuhashi , H. ( 2003 ). ℤ2-graded Clifford system in the Hecke algebra of type B n . J. Algebra 264 ( 1 ): 231 – 250 .
   Web of Science ®Google Scholar
• Ogievetsky , O. , Poulain d'Andecy , L. ( 2013 ). Alternating subgroups of Coxeter groups and their spinor extensions . Journal of Pure and Applied Algebra 217 : 2198 – 2211 .
   Web of Science ®Google Scholar
• Ratliff , L. ( 2007 ). The Alternating Hecke Algebra and Its Representations. Ph.D. thesis, Sydney Univ .
   Google Scholar
• Reidemeister , K. ( 1926 ). Knoten und Gruppen . Abh. Math. Sem. (Hamburg) 5 : 7 – 23 .
   Google Scholar
• Schreier , O. ( 1927 ). Die Untergruppen der freien Gruppen . Abh. Math. Sem. (Hamburg) 5 : 161 – 183 .
   Google Scholar
• Vershik , A. ( 1991 ). Local stationary algebras . Amer. Math. Soc. Trans. 148 ( 2 ): 1 – 13 .
   Google Scholar
• Communicated by S. Sehgal.
   Google Scholar