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Communications in Algebra Volume 31, 2003 - Issue 1
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Original Articles

Cell Decompositions of the Special Orthogonal Algebraic Monoids

Zhenheng Li Department of Mathematics, University of Western Ontario, London, Ontario, Canada; Department of Mathematics, University of Western Ontario, London, Ontario, N6A 5B7, CanadaCorrespondence[email protected]
Pages 271-287 | Received 05 Sep 2001, Published online: 01 Feb 2007

References

  • Bialynicki-Birula , A. 1973 . Some theorems on actions of algebraic groups . Ann. of Math. , 98 : 480 – 497 .
  • Carter , R. 1985 . “ Finite Groups of Lie Type ” . In Conjugacy Classes and Complex Characters New York : John Wiley and sons .
  • DeConcini , C. and Procesi , C. 1973 . “ Complete symmetric varieties ” . In LNM. Vol. 996 , 1 – 44 . Springer .
  • Fulton , W. 1993 . “ Introduction to toric varieties ” . In Ann. of Math. Studies Vol. 131 , Princeton University Press .
  • Howie , J. M. 1995 . “ Fundamentals of semigroup theory ” . In London Math. Soc. Monographs New Series 12 Oxford : Clarendon Press .
  • Humphreys , J. E. 1981 . “ Linear algebraic groups ” . In Graduate Texts in Mathematics Vol. 21 , New York : Springer Verlag .
  • Z. H. Li, The Renner Monoids and Cell Decompositions of the Classical Algebraic Monoids, Dissertation, The University of Western Ontario, 2001
  • Li , Z. H. 2003 . Idempotent Lattices, Renner Monoids and Cross Section Lattices of the Special Orthogonal Algebraic Monoids . J. Algebra , to appear.
  • Li , Z. H. and Renner , L. E. 2003 . The Renner monoids and cell decompositions of the symplectic algebraic monoids . International Journal of Algebra and Computation , to appear.
  • Zhuo Li, Orbit Structure of Finite and Reductive Monoids, Dissertation, The University of Western Ontario, 1997
  • Putcha , M. S. 1988 . “ Linear algebraic monoids ” . In London Mathematical Society Lecture Notes Series 133 Cambridge University Press .
  • Putcha , M. S. and Renner , L. E. 1988 . The system of idempotents and the lattice of 𝒥-classes of reductive algebraic monoids . J. Algebra , 116 ( 2 ) : 385 – 399 .
  • Renner , L. E. 1986 . Analogue of the bruhat decomposition for algebraic monoids . J. Algebra , 101 ( 2 ) : 303 – 338 .
  • Renner , L. E. 1985 . Classification of semisimple algebraic monoids . Trans. Amer. Math. Soc. , 292 ( 1 ) : 193 – 223 .
  • Renner , L. E. 1989 . Classification of semisimple varieties . J. Algebra , 122 : 275 – 287 .
  • Renner , L. E. 2003 . An explicit cell decomposition of the wonderful compactification of a semisimple algebraic group . Canadian Mathematical Bulletin , to appear.
  • Solomon , L. 1995 . “ An introduction to reductive monoids ” . In Semigroups, Formal Languages and Groups Edited by: Fountain , J. 295 – 352 . Kluwer .
  • Springer , T. A. 1998 . Linear Algebraic Groups Boston : Birkhauser .

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