The determinant formula for a matroid bilinear form

Advances in Mathematics

Volumn 129, Issue 1, 1997, Pages 1-24

  Brylawski, T ^a   Varchenko, A ^a  

^a The University of North Carolina at Chapel Hill   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031571040     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.1996.1530     Document Type: Article

References (14)

1. Bjornes A. On the homology of geometric lattices. Algebra Universalis. 14:1982;107-182.
2. Brylawski T. Modular constructions for combinatorial geometries. Trans. Amer. Math. Soc. 203:1975;1-44.
3. Brylawski T. The broken circuit complex. Trans. Amer. Math. Soc. 234:1977;417-433.
4. Brylawski T., Oxley J. Several identities for the characteristic polynomial of a combinatorial geometry. Discrete Math. 31:1980;161-170.
5. Feigin B., Fuchs D. Skew-symmetric invariant differential operators on a line and Verma modules over the Virasoro Lie algebra. Funct. Anal. Appl. 16:1982;47-63.
6. Kac V. Infinite Dimensional Lie Algebras. 1990;Cambridge Univ. Press, Cambridge.
7. V. Kac, M. Wakimoto, 1986, Unitarizable highest weight representations of the Virasoro, Neveu-Schwartz, and Ramond algebras, Proceedings of the Symposium on Conformal Groups and Structures, 261, 345, 372, Lecture Notes in Physics, Springer-Verlag, Berlin.
8. Orlik P., Solomon L. Combinatorics and topology of complements of hyperplanes. Invent. Math. 56:1980;167-189.
9. Oxley J. Matroid Theory. 1993;Cambridge Univ. Press, Cambridge.
10. Schechtman V., Varchenko A. Arrangements of hyperplanes and Lie algebra homology. Invent. Math. 106:1991;139-194.
11. Varchenko A. The Euler beta function, the Vandermonde determinant, Legendre's equation, and critical points of linear function on a configuration of hyperplanes, I, II. Math. USSR-Izv. 35:1990;542-571.
12. Varchenko A. Determinant formula for Selberg type integrals. Funct. Anal. and Appl. 4:1991;65-66.
13. Varchenko A. Hypergeometric functions and representation theory of Lie algebras and quantum groups. Advanced Series in Mathematical Physics. 21:1995;World Scientific, Singapore.
14. Varchenko A. Critical points of the product of powers of linear functions and families of bases of singular vectors. Compositio Mathematica. 97:1995;385-401.