An Introduction to Reductive Monoids

Semigroups, Formal Languages and Groups ◽

10.1007/978-94-011-0149-3_10 ◽

1995 ◽

pp. 295-352 ◽

Author(s):

Louis Solomon

Keyword(s):

Reductive Monoids

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Bruhat-Chevalley order on $\mathcal{J}$ -classes of reductive monoids

Semigroup Forum ◽

10.1007/s00233-008-9062-8 ◽

2008 ◽

Vol 78 (1) ◽

pp. 7-13 ◽

Author(s):

Dewey T. Taylor

Keyword(s):

Reductive Monoids

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Conjugacy decomposition of reductive monoids

Mathematische Zeitschrift ◽

10.1007/s00209-005-0779-8 ◽

2005 ◽

Vol 250 (4) ◽

pp. 841-853 ◽

Author(s):

Mohan S. Putcha

Keyword(s):

Reductive Monoids

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Types of Reductive Monoids

Journal of Algebra ◽

10.1006/jabr.1999.7946 ◽

1999 ◽

Vol 221 (1) ◽

pp. 102-116 ◽

Author(s):

Zhuo Li ◽

Mohan Putcha

Keyword(s):

Reductive Monoids

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Reductive monoids are Von Neumann regular

Journal of Algebra ◽

10.1016/0021-8693(85)90157-7 ◽

1985 ◽

Vol 93 (2) ◽

pp. 237-245 ◽

Author(s):

Lex E Renner

Keyword(s):

Von Neumann ◽

Reductive Monoids ◽

Von Neumann Regular

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Bruhat-Renner decomposition and Hecke algebras of reductive monoids

Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry ◽

10.1090/fic/040/05 ◽

2004 ◽

pp. 113-124

Author(s):

Mohan Putcha

Keyword(s):

Hecke Algebras ◽

Reductive Monoids

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Deligne–Lusztig characters for finite reductive monoids

Mathematical Proceedings of the Cambridge Philosophical Society ◽

10.1017/s0305004197001850 ◽

1997 ◽

Vol 122 (3) ◽

pp. 439-446 ◽

Author(s):

MOHAN S. PUTCHA

Keyword(s):

Reductive Monoids

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Orbit Structure of Reductive Monoids

Linear Algebraic Monoids - Encyclopaedia of Mathematical Sciences ◽

10.1007/3-540-27556-8_7 ◽

2005 ◽

pp. 91-125

Keyword(s):

Orbit Structure ◽

Reductive Monoids

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Classification of Reductive Monoids

Linear Algebraic Monoids - Encyclopaedia of Mathematical Sciences ◽

10.1007/3-540-27556-8_5 ◽

2005 ◽

pp. 57-71

Keyword(s):

Reductive Monoids

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Analogue of the Bruhat–Chevalley Order for Reductive Monoids

Journal of Algebra ◽

10.1006/jabr.1997.7111 ◽

1997 ◽

Vol 196 (2) ◽

pp. 339-368 ◽

Author(s):

Edwin A. Pennell ◽

Mohan S. Putcha ◽

Lex E. Renner

Keyword(s):

Reductive Monoids

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H-POLYNOMIALS AND ROOK POLYNOMIALS

International Journal of Algebra and Computation ◽

10.1142/s0218196708004688 ◽

2008 ◽

Vol 18 (05) ◽

pp. 935-949 ◽

Author(s):

MAHIR BILEN CAN ◽

LEX E. RENNER

Keyword(s):

Reductive Monoids

The purpose of this paper is twofold. First we describe a useful procedure for computing the H-polynomials of reductive monoids. Second we use this procedure to compute the H-polynomial of the monoid of n × n matrices in terms of the q-analogues of the rook polynomials of Garsia and Remmel.

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