The Eigenspaces of the Bose-Mesner-Algebras of the Association Schemes Corresponding to Projective Spaces and Polar Spaces

Designs, Codes, and Cryptography

Volumn 17, Issue 1-3, 1999, Pages 129-150

  Eisfeld, Jörg ^a  

^a Mathematisches Institut   (Germany)

Author keywords

Association schemes; Bose Mesner Algebra; Polar space; Projective space

Indexed keywords

EID: 0345768746     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1008366907558     Document Type: Article

References (9)

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3. P. J. Cameron, Projective and polar spaces, QMW Math Notes, Vol. 13, School of Mathematical Sciences, Queen Mary and Westfield College London.
4. P. J. Cameron, R. A. Liebler, Tactical decompositions and orbits of projective groups, Lin. Alg. Appl., Vol. 46 (1982) pp. 91-102.
5. P. Delsarte, Association schemes and t-designs in regular semilattices, J. Comb. Theory (A), Vol. 20 (1976) pp. 230-243.
6. J. Eisfeld, On the common nature of spreads and pencils in PG(d, q), Discrete Mathematics, Vol. 189 (1998) pp. 95-104.
7. J. Eisfeld, Subsets of association schemes corresponding to eigenvectors of the Bose-Mesner algebra, Bull. Belg. Math. Soc., Vol. 5 (1998) pp. 265-274.
8. J. Eisfeld, Theorie der Cliquoide in stark regulären Graphen, Assoziationsschemata, partiellen geometrischen Designs, projektiven Räumen und Polarräumen, Inaugural-Dissertation, Justus-Liebig-Universität Gießen 1997.
9. W. M. Kantor, On incidence matrices of finite projective and affine spaces, Math. Z., Vol. 124 (1972) pp. 315-318.