The goal of this paper is to study cohomological theory n-Lie algebras with derivations. We define the representation an n-LieDer pair and consider its cohomology. Likewise, we verify that a cohomology could be derived from associated LeibDer pair. Furthermore, discuss (n−1)-order deformations Nijenhuis operator pairs. central extensions pairs are also investigated in terms first groups coeffic...

we regard the shearlet group as a semidirect product group andshow that its standard representation is,typically, a quasiregu-lar representation. as a result we can characterize irreducibleas well as square-integrable subrepresentations of the shearletgroup.

We find the characteristic identities for split Casimir operator in defining and adjoint representations of $$osp(M|N)$$ $$s\ell(M|N)$$ Lie superalgebras. These are used to build projectors onto invariant subspaces representation $$T^{\otimes 2}$$ superalgebras cases where $$T$$ is or representation. For representation, - -invariant solutions Yang–Baxter equation expressed as rational functions...

We study the automorphic theta representation $Theta_{2n}^{(r)}$ on the $r$-fold cover of the symplectic group $Sp_{2n}$‎. ‎This representation is obtained from the residues of Eisenstein series on this group‎. ‎If $r$ is odd‎, ‎$nle r

A graph has a representation modulo n if there exists an injective map f : {V (G)} → {0, 1, . . . , n − 1} such that vertices u and v are adjacent if and only if |f(u)− f(v)| is relatively prime to n. The representation number is the smallest n such that G has a representation modulo n. We seek the maximum value for the representation number over graphs of a fixed order. Erdős and Evans provide...

in this paper we introduce two-wavelet constants for square integrable representations of homogeneous spaces. we establishthe orthogonality relations for square integrable representationsof homogeneous spaces which give rise to the existence of aunique self adjoint positive operator on the set of admissiblewavelets. finally, we show that this operator is a constant multiple of identity operator...

Implicit representation of graphs is a coding of the structure of graphs using distinct labels so that adjacency between any two vertices can be decided by inspecting their labels alone. All previous implicit representations of planar graphs were based on the classical three forests decomposition technique (a.k.a. Schnyder’s trees), yielding asymptotically to a 3 log n-bit label representation ...

Ash's research was partially supported by NSF Grant DMS-8919696. Conjecturally, any “algebraic” automorphic representation on GL(n) should have an n-dimensional Galois representation attached. Many examples of algebraic automorphic representations come from the cohomology overC of congruence subgroups of GL(n;Z). On the other hand, the first author has conjectured that for any Hecke eigenclass ...

A–1 We proceed by induction, with base case 1= 2030. Suppose all integers less than n− 1 can be represented. If n is even, then we can take a representation of n/2 and multiply each term by 2 to obtain a representation of n. If n is odd, put m = blog3 nc, so that 3m ≤ n < 3m+1. If 3m = n, we are done. Otherwise, choose a representation (n−3m)/2= s1+ · · ·+sk in the desired form. Then n = 3m +2s...

While investigating the one-one equivalence between various general combinatorial decision problems, CLEAVE [l] initated the concept of system functions. System functions are defined on natural numbers and their values are finite sets of natural numbers. They have many properties in common with those arising from GodeI numbering various combinatorial systems such as Turing machines, Markov algo...