Skowronski, Elements of the representation theory of associative algebras
They cover gradings on algebras, associative algebras
, classical Lie algebras, composition algebras and type G2, Jordan algebras with type F4, other simple Lie algebras in characteristic zero, and Lie algebras of Caran type in prime characteristic.
Comparison of deformations and geometric study of associative algebras
Molev (University of Sydney) describes the structure and properties of Yangian and twisted Yangian associative algebras
of Agriculture and Technology) explore the representation theory of finite dimensional associative algebras
with an identity over a field.
In fact, contrary to what we find in this paper, the operads associated to ternary partially associative algebras
and other (2p + 1)-ary partially associative algebras
are not Koszul and so the operadic cohomology does not capture deformations.
Representation theory of finite groups and associative algebras
i [greater than or equal to] 0] be a family of associative algebras
endowed with a collection of algebra morphisms [([[rho].
Topics include: globalization theorems for partial Hopf (co)actions and some applications, Nichols algebras associated to simple racks, classification of irreducible representations over finite simple Lie conformal superalgebras, hereditary torsion theories, a survey of partial actions, free associative algebras
linearly graded by finite groups, and more.
Seeking to generalize the theorem of Zorn on real alternative division algebras, one is naturally led to consider power associative algebras
, defined by the property that every subalgebra generated by a single element is associative.
Zhelobenko starts with the basics, including linear algebra and functional analysis, then proceeds to associative algebras
, topological groups, Lie groups, ring theory, and the theory of algebraic groups.
Basic representation theory of finite groups and associative algebras