On connectedness of graphs on Weyl groups of type A n ( n ≥ 4 )

Samy A. Youssef; S. G. Hulsurkar

Archivum Mathematicum (1995)

  • Volume: 031, Issue: 3, page 163-170
  • ISSN: 0044-8753

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Youssef, Samy A., and Hulsurkar, S. G.. "On connectedness of graphs on Weyl groups of type $A_n$ ($n\ge 4$)." Archivum Mathematicum 031.3 (1995): 163-170. <http://eudml.org/doc/247682>.

@article{Youssef1995,
author = {Youssef, Samy A., Hulsurkar, S. G.},
journal = {Archivum Mathematicum},
keywords = {graphs on Weyl groups; irreducible root systems},
language = {eng},
number = {3},
pages = {163-170},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On connectedness of graphs on Weyl groups of type $A_n$ ($n\ge 4$)},
url = {http://eudml.org/doc/247682},
volume = {031},
year = {1995},
}

TY - JOUR
AU - Youssef, Samy A.
AU - Hulsurkar, S. G.
TI - On connectedness of graphs on Weyl groups of type $A_n$ ($n\ge 4$)
JO - Archivum Mathematicum
PY - 1995
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 031
IS - 3
SP - 163
EP - 170
LA - eng
KW - graphs on Weyl groups; irreducible root systems
UR - http://eudml.org/doc/247682
ER -

References

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  1. Samy A. Youssef, Graphs on Weyl Groups, Ph.D. Thesis, Indian Institute of Technology, Kharagpur, July,1992. (1992) 
  2. Samy A. Youssef, Hulsurkar S. G., More on the Girth of Graphs on Weyl Groups, Archivum Mathematicum, 29 (1993) 19-23. (1993) MR1242624
  3. Hulsurkar S. G., Proof of Verma’s conjecture on Weyl’s dimension polynomial, Invent. Math., 27 (1974) 45-52. (1974) Zbl0298.17005MR0369555
  4. Chastkofsky L., Variation on Hulsurkar’s matrix with applications to representation of algebraic Chevalley groups, J. Algebra, 82 (1983) 253-274. (1983) MR0701046
  5. Verma D. N., The role of Affine Weyl groups in the representation theory of Algebraic Chevalley groups and their representations. Lie groups and their representations, Ed. I.M. Gelfand, John Wiley and Sons, New York, 1975. (1975) 
  6. Bourbaki N., Groupes et algebries de Lie, Chap. IV-VI, Herman, Paris, 1969. (1969) 
  7. Deo, Narsingh, Graph theory with applications to Engineering and Computer Science, Prentice Hall of India, New Delhi, 1990. (1990) MR0360322

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