CONFERENCE PROGRAM
Saturday, April 15
10:00 – 10:30
B. Ahmedov
Conference opening
10:30 – 11:30
Sh. Ayupov
Local and 2- local derivations and automorphisms of
Octonian algebras
11:30 – 12:30
V. Dotsenko
Varieties of algebras: an introduction
13:00 – 14:00
Lunch
14:00 – 15:00
X. Garcia-Martinez A universial Kaluzhnin-Krasner embedding theorem I
15:00 – 16:00
G. Makeev
Roe functors preserve homotopies I
16:00 – 16:30
Break
16:30 – 17:30
B. Omirov
On complex solvable Lie superalgebras of maximal
rank
Sunday, April 16
10:00 – 11:00
V. Dotsenko
The categorical notion of a monad in the context of
varieties of algebras
11:00 – 12:00
X. Garcia-Martinez A universal Kaluzhnin-Krasner embedding theorem II
12:00 – 13:00
G. Makeev
Roe functors preserve homotopies II
13:00 – 14:00
Lunch
ABSTRACT OF TALKS
Speaker: Sh. Ayupov (Institute of Mathematics)
Title: Local and 2-local derivations and automorphisms of Octonian algebras
Abstract: The talk is devoted to a survey of result concerning description of local and 2-local
derivations (respectively, automorphisms) on some non-associative algebras. Special attention is
given to the case of octonian algebras. We shall give a general form of local derivations on the
octonion algebra O(F) over a field F with zero characteristic. This description implies that the
space of all local derivations on O(F) when equipped with Lie bracket is isomorphic to the Lie
algebra so
7
O(F) of all real skew-symmetric 7 × 7-matrices over F. At the same time the Lie
algebra of all derivations are isomorphic to the Lie algebra g
2
(F). It follows that the octonion
algebra O(F) and Malcev algebra M
7
(F) over the field F are simple non associative algebras which
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