A class of continuous non-associative algebras arising from algebraic groups including

C * -algebraic Quantum Groups Arising from Algebraic Quantum Groups

We associate to an algebraic quantum group a C *-algebraic quantum group and show that this C *-algebraic quantum group essentially satisfies an upcoming definition of Masuda, Nakagami & Woronowicz.

MTL-algebras arising from partially ordered groups

After dropping the implication-like operation and reversing the order, an MTL-algebra becomes a partially ordered structure (L;≤,⊕, 0, 1) based on the single addition-like operation ⊕. Furthermore, ⊕ may be restricted to a partial, but cancellative addition + without loss of information. We deal in this paper with the case that the resulting partial algebra (L;≤,+, 0, 1) is embeddable into the ...

Subalgebras of Quasi-hereditary Algebras Arising from Algebraic and Quantum Groups

Quasi-hereditary algebras arise in several natural contexts. For example, their module categories often appear in connection with the representation theory of algebraic groups over elds of positive characteristic or of quantum groups at a root of unity. This point of view has been exploited by various authors, e. g., [CPS3{8], [G2], etc. Classical Schur algebras attached to the general linear g...

Constructing algebraic groups from their Lie algebras

A connected algebraic group in characteristic 0 is uniquely determined by its Lie algebra. In this paper an algorithm is given for constructing an algebraic group in characteristic 0, given its Lie algebra. Using this an algorithm is presented for finding a maximal reductive subgroup and the unipotent radical of an algebraic group.

A Fractal Non-Contracting Class of Automata Groups