Alternating quaternary algebra structures on irreducible representations of sl(2,C)

We determine the multiplicity of the irreducible representation V(n) of the simple Lie algebra sl(2,C) as a direct summand of its fourth exterior power $\Lambda^4 V(n)$. The multiplicity is 1 (resp. 2) if and only if n = 4, 6 (resp. n = 8, 10). For these n we determine the multilinear polynomial identities of degree $\le 7$ satisfied by the sl(2,C)-invariant alternating quaternary algebra structures obtained from the projections $\Lambda^4 V(n) \to V(n)$. We represent the polynomial identities as the nullspace of a large integer matrix and use computational linear algebra to find the canonical basis of the nullspace.Comment: 26 pages, 13 table

The Financial Management, Behavior and Reports in Non- Profit Sector: A Proposed Framework

This paper aims to provide a proposed framework to financial management, behavior and reporting in NPO sector. First, we reviewed the related literature to point out the current framework and develop a new one, furthermore we reviewed the objectives, information quality’s characteristics, constraints and new current statement’s structure. Second, we developed the traditional requirement of fundamental financial management such as (Financial Position, Comprehensive Activity, social activity, economic activity, Statement of Cash Flows and Notes). Third, we developed additional financial management tools (social added value and Statement of functional expenses), the proposed framework can improve the comprehensive financial management and behavior function in the NPO sector

Forget-Me-Not: American Consumerism and its Impact on Philadelphia Gravestones, 1800-1930

This thesis investigates the relationship between the growing consumer ideology brought about by the American Industrial Revolution and changing gravestone characteristics in Philadelphia, PA between 1800-1930. Examining their connection uncovers how consumerism impacted individual’s sense of self and viewed their place in society, which are then reflected in material culture