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. // Tomsk State Pedagogical University Bulletin. 1998. Issue 5 (8). P. 69-70

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Basic properties of Fedosov supermanifoids // Tomsk State Pedagogical University Bulletin. 2004. Issue 7 (44). P. 62-68

Basic properties of even (odd) supermanifoids endowed with a connection respecting a given symplectic structure are studied. Such supermanifoids can be considered as generalization of Fedosov manifolds to the supersymmetric case.

On calculations of some algebraic sums // Tomsk State Pedagogical University Bulletin. 2007. Issue 6 (69). P. 7-10

In the present paper some algebraic sums including the binomial coefficients and leading to some new representation of the Stirling numbers of the second kind are investigated

EXTENDED BRST RENORMALIZATION // Tomsk State Pedagogical University Bulletin. 2012. Issue 13 (128). P. 98-102

The renormalization of general gauge theories curved space-time backgrounds is considered within the Sp(2)-covariant quantization method. It is proven that gauge invariant and diffeomorphism invariant renormalizability to all orders in the loop expansion and the extended BRST symmetry after renormalization is preserved.

Keywords: Extended BRST symmetry, Sp(2) quantization, general covariance, renormalization

REMARK ON THE JACOBI IDENTITIES IN ASSOCIATIVE ALGEBRAS // Tomsk State Pedagogical University Bulletin. 2013. Issue 8 (136). P. 198-199

In the paper associative algebras and Jacobi identities, which appear after introduction of commutator and write down in the form of double commutators for arbitrary three elements of a given algebra, are considered. We show that in any associative algebra there exist identities, which are written in the form of single commutators for any three elements. From these identities one can derive the Jacobi identities but not the contrary. It allows us to speak of fundamental (basic) identities existing for any associative algebra.

Keywords: associative algebras, commutator, Jacobi identities, generalized Jacobi identities

RENORMALIZATION OF FIELD MODELS WITH ONE-PARAMETER FERMIONIC SYMMETRY // Tomsk State Pedagogical University Bulletin. 2014. Issue 12 (153). P. 148-151

We prove that the theories invariant under one-parameter fermionic symmetry after renormalization retain invariance. It is shown that the Ward identity for effective action after renormalization has the same form as non-renormalized one.

Keywords: renormalization, supersymmetric invariance