Publications of Bojko Bakalov

 

 

 

W_{N+1}-constraints for singularities of type A_N (with T. Milanov), preprint arXiv:0811.1965.

arXiv

 

Constructing models of vertex algebras in higher dimensions (with N.M. Nikolov), in Lie theory and its applications in physics VII, ed. H.-D. Doebner and V.K. Dobrev, Heron Press, Sofia, 2008, pp. 36-42.

pdf

 

Infinite-dimensional Lie algebras in 4D conformal quantum field theory (with N.M. Nikolov, K.-H. Rehren and I. Todorov), J. Phys. A: Math. Theor. 41 (2008) 194002, 12 pp.

journal ; arXiv

 

Non-linear Lie conformal algebras with three generators (with A. De Sole), Selecta Math. (NS) 14 (2009), no. 2, 163-198.

journal ; arXiv

 

Vertex (Lie) algebras in higher dimensions, Hermann Weyl prize lecture presented at the 26th International Colloquium on Group Theoretical Methods in Physics, New York, June 27, 2006.

arXiv

 

Unitary positive-energy representations of scalar bilocal quantum fields (with N.M. Nikolov, K.-H. Rehren and I. Todorov), Commun. Math. Phys. 271 (2007), no. 1, 223-246.

journal ; arXiv

 

Generalized vertex algebras (with V.G. Kac), in Lie theory and its applications in physics VI, ed. H.-D. Doebner and V.K. Dobrev, Heron Press, Sofia, 2006, pp. 3-25.

arXiv

 

Jacobi identity for vertex algebras in higher dimensions (with N.M. Nikolov), J. Math. Phys. 47 (2006), no. 5, 053505, 30 pp.

journal ; arXiv

 

Irreducible modules over finite simple Lie pseudoalgebras I. Primitive pseudoalgebras of type W and S (with A. D'Andrea and V.G. Kac), Adv. Math. 204 (2006), no. 1, 278-346.

journal ; arXiv

 

Twisted modules over lattice vertex algebras (with V.G. Kac), in Lie theory and its applications in physics V, ed. H.-D. Doebner and V.K. Dobrev, World Sci. Publishing, River Edge, NJ, 2004, pp. 3-26.

arXiv

 

Field algebras (with V.G. Kac), Int. Math. Res. Not. 2003, no. 3, 123-159.

journal ; arXiv

 

Theory of finite pseudoalgebras (with A. D'Andrea and V. G. Kac), Adv. Math. 162 (2001), no. 1, 1-140.

journal ; arXiv

 

Lectures on tensor categories and modular functors (with A. Kirillov, Jr.), University Lecture Series 21, Amer. Math. Soc., Providence, RI, 2001.

AMS bookstore ; preprint

 

On the lego-Teichmüller game (with A. Kirillov, Jr.), Transform. Groups 5 (2000), no. 3, 207-244.

journal ; arXiv

 

Cohomology of conformal algebras (with V.G. Kac and A.A. Voronov), Commun. Math. Phys. 200 (1999), no. 3, 561-598.

journal ; arXiv

 

Automorphisms of the Weyl algebra and bispectral operators (with E. Horozov and M. Yakimov), in The bispectral problem, ed. J. Harnad and A. Kasman, CRM Proc. Lecture Notes 14, Amer. Math. Soc., Providence, RI, 1998, pp. 3-10.

AMS Bookstore ; arXiv

 

Beilinson-Drinfeld's definition of a chiral algebra, unpublished, January 1997.

postscript

 

General methods for constructing bispectral operators (with E. Horozov and M. Yakimov), Phys. Lett. A 222 (1996), no. 1-2, 59-66.

journal ; arXiv

 

Highest weight modules over W_{1+infty} algebra and the bispectral problem (with E. Horozov and M. Yakimov), Duke Math. J. 93 (1998), no. 1, 41-72.

journal ; arXiv

 

Bispectral algebras of commuting ordinary differential operators (with E. Horozov and M. Yakimov), Commun. Math. Phys. 190 (1997), no. 2, 331-373.

journal ; arXiv

                                                                                        

Highest weight modules of W_{1+infty}, Darboux transformations and the bispectral problem (with E. Horozov and M. Yakimov), Serdica Math. J. 23 (1997), no. 2, 95-112.

arXiv

 

Bäcklund-Darboux transformations in Sato's Grassmannian (with E. Horozov and M. Yakimov), Serdica Math. J. 22 (1996), no. 4, 571-586.

arXiv

 

A QFT approach to W_{1+infty} (with L.S. Georgiev and I.T. Todorov), in New trends in quantum field theory, ed. A. Ganchev et al., Heron Press, Sofia, 1996, pp. 147-158.

arXiv

 

Tau-functions as highest weight vectors for W_{1+infty} algebra (with E. Horozov and M. Yakimov), J. Phys. A 29 (1996), no. 17, 5565-5573.

journal ; arXiv

 

 

 

http://www4.ncsu.edu/~bnbakalo