Kudryavtseva and Mazorchuk exhibited Schur–Weyl duality between the rook monoid algebra [Formula: see text] subalgebra of partition acting on text]. In this paper, we consider a such that there is actions This paper studies representation theory algebras for monoids inductively by considering multiplicity free tower Furthermore, inductive approach established as spectral describing Jucys–Murphy...

Let $\mathfrak{n}$ be a maximal nilpotent subalgebra of simple complex Lie algebra with root system $\Phi$. A subset $D$ the set $\Phi^+$ positive roots is called rook placement if it consists pairwise non-positive scalar products. To each and map $\xi$ from to $\mathbb{C}^{\times}$ nonzero numbers one can naturally assign coadjoint orbit $\Omega_{D,\xi}$ in dual space $\mathfrak{n}^*$. By defi...

I n an earlier publication (Rook & Line, 1961) it was suggested that the increases in the yield and solids-not-fat (s.N.F.) content of milk that occur in response to an improvement in the plane of energy nutrition of the cow are due to increases in the ruminal production of acetic and propionic acids. Evidence was given supporting the view that the acids differ in their effects on the synthesis...

In the electricity market, different pricing models can be applied to increase market competitiveness. Different systems use structures. Uniform marginal pricing, zonal and nodal methods are commonly used For markets wishing move from a uniform structure more competitive structure, determination of price zones is critical for achieving that generates accurate signals. Three zone detection algor...