Universal two-parameter even spin W∞-algebra

Universal Algebra

W Spin for Any Spin

The collinear group SU(6)w enables us to discuss vertices, form factors and other collinear processes in an SU(6)-theory which is consistent with relativistic invariance. It leads, however, to a classification of the particles which is different from that of the “staticL SU(6)s. The general “W-spin” properties of an arbitrary spin state constructed from any number of basic spin i objects are di...

The C*-algebra of Symmetric Words in Two Universal Unitaries

We compute the K-theory of the C*-algebra of symmetric words in two universal unitaries. This algebra is the fixed point C*-algebra for the order-two automorphism of the full C*algebra of the free group on two generators which switches the generators. Our calculations relate the K -theory of this C*-algebra to the K-theory of the associated C*-crossed-product by Z2.

Universal Dialgebra: Unifying Universal Algebra and Coalgebra

The concept of dialgebra provides a platform under which universal algebra and coalgebra are unified in one theory. Other examples of dialgebras include universal multialgebras and partial algebras. In the dialgebraic setting, several relationships between common features of these various theories are clarified and, in many cases, rather similar proofs of closely related results are combined to...

Lectures on Universal Algebra

1 Algebras In this first section we will consider some common features of familiar algebraic structures such as groups, rings, lattices, and boolean algebras to arrive at a definition of a general algebraic structure. Recall that a group G consists of a nonempty set G, along with a binary operation · : G → G, a unary operation −1 : G → G, and a constant 1 G such that • x · (y · z) = (x · y) · z...