By P Kielanowski; et al (eds.)

ISBN-10: 3034804474

ISBN-13: 9783034804479

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Th. Voronov. On odd Laplace operators. II. In book: Geometry, Topology and Mathematical Physics. P. M. M. Krichever, editors, Amer. Math. Soc. Transl. (2), Vol. 212, 2004, pp. 179–205. M. Th. Voronov. Berezinians, exterior powers and recurrent sequences. Lett. Math. Phys. 74(2) (2005), 201–228. A. Klyachko. Stable bundles, representation theory and Hermitian operators. , New Ser. 4, No. 3 (1998), 419–445. A. Leites. Spectra of graded-commutative rings. Uspehi Mat. Nauk 29(3(177)) (1974), 209–210.

Closure of the gauge algebra, generalized Lie equations and Feynman rules. Nucl. Phys. B 234 (1984), 106–124. [6] F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, and D. Sternheimer. Deformation theory and quantization. I. Deformations of symplectic structures. Ann. Physics 111 (1978), no. 1, 61–110. A. Berezin. Laplace operators on semisimple Lie groups. Dokl. Akad. ) 107 (1956), 9–12. A. Berezin. Representation of complex semisimple Lie groups in Banach space. Dokl. Akad. ) 110 (1956), 897–900.

The momentum came again from theoretical physics and it was supersymmetry. Now this name is used very widely and sometimes outside of its precise original meaning, which is transformations of ﬁelds mixing the fermionic ﬁelds (usually describing ‘matter’) with bosonic ﬁelds (usually describing ‘interaction’). In parallel with Berezin’s work, the breakthrough was preparing in 1971– 1974. Supersymmetry appeared, in the context of ‘dual-resonance models’ (later, string theory), in Ramond [104] and Neveu–Schwarz [100]; and, in the context of four-dimensional gauge theory, in Golfand–Likhtman [72], Volkov et al.

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