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References
A. Beilinson and V. Drinfeld. Chiral Algebras. AMS Colloquium Publications 51, AMS, Providence, RI, 2004.
D. Ben-Zvi and E. Frenkel. Vertex Algebras and Algebraic Curves. AMS, Providence, RI, 2001.
R.E. Borcherds. Vertex algebras, Kac-Moody algebra and the monster. Proc. Natl. Acad. Sci. USA 83 (1986), 3068–3071.
R.E. Borcherds, Quantum vertex algebras. In: Taniguchi Conference on Mathematics Nara ’98. Advanced Studies in Pure Mathematics 31, 51–74. Math. Soc. Japan, 2000.
E. Frenkel, V. Kac, A. Radul, and W. Wang. W1+∞ and W(gl_N) with central charge N. Commun. Math. Phys. 170 (1995), 337–357.
I. Frenkel, J. Lepowsky, and A. Meurman. Vertex Operator Algebras and the Monster. Academic Press, New York, 1988.
J. Hilgert and K.-H. Neeb. Lie Gruppen und Lie Algebren. Vieweg, Braunschweig, 1991.
Y-Z. Huang. Two-Dimensional Conformal Geometry and Vertex Operator Algebras. Progress in Mathematics 148, Birkhuser, Basel, 1997.
V. Kac. Vertex Algebras for Beginners. University Lecture Series 10, AMS, Providencs, RI, 2nd ed., 1998.
S. Lentner. Vertex Algebras Constructed from Hopf Algebra Structures. Diplomarbeit, LMU München, 2007.
K. Linde. Global vertex operators on Riemann surfaces. Dissertation. LMU München, 2004.
G. Segal. The definition of conformal field theory. Unpublished Manuscript, 1988. Reprinted in Topology, Geometry and Quantum Field Theory, U. Tillmann (Ed.), 432–574, Cambridge University Press, Cambridge, 2004.
G. Segal. Geometric aspects of quantum field theory. Proc. Intern. Congress Kyoto 1990, Math. Soc. Japan, 1387–1396, 1991.
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Schottenloher, M. (2008). Vertex Algebras. In: A Mathematical Introduction to Conformal Field Theory. Lecture Notes in Physics, vol 759. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68628-6_10
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