1,066 research outputs found
Some Weyl modules of the algebraic groups of type
Let be a simple algebraic group of type over an algebraically
closed field of characteristic . We determine the submodule structure of
the Weyl modul es with highest weight for , where
is the fundamental weight of the standard -dimensional module.
In the process, the structures of other Weyl modules with highest weights
linked to are also found. %We also give some computations for the
Weyl modules with highest weights %of the form , which
arise in the study of %the graph automorphism and associated twisted finite
groups.Comment: 25 page
The quantum Casimir operators of \Uq and their eigenvalues
We show that the quantum Casimir operators of the quantum linear group
constructed in early work of Bracken, Gould and Zhang together with one extra
central element generate the entire center of \Uq. As a by product of the
proof, we obtain intriguing new formulae for eigenvalues of these quantum
Casimir operators, which are expressed in terms of the characters of a class of
finite dimensional irreducible representations of the classical general linear
algebra.Comment: 10 page
Chaotic Accretion in a Non-Stationary Electromagnetic Field of a Slowly Rotating Compact Star
We investigate charge accretion in vicinity of a slowly rotating compact star
with a non-stationary electromagnetic field. Exact solutions to the general
relativistic Maxwell equations are obtained for a star formed of a highly
degenerate plasma with a gravitational field given by the linearized Kerr
metric. These solutions are used to formulate and then to study numerically the
equations of motion for a charged particle in star's vicinity using the
gravitoelectromagnetic force law. The analysis shows that close to the star
charge accretion does not always remain ordered. It is found that the magnetic
field plays the dominant role in the onset of chaos near the star's surface.Comment: 9 pages, 4 figure
Evaluating F. Franklin Moon Library using the Tool for Evaluation of Academic Library Spaces
The traditional role of the F. Franklin Moon Library as the SUNY College of Environmental Science and Forestry was to house collections and provide reading space; that model does not fit emerging needs and expectations of the campus population. To plan strategically for the future of the space, and to better meet the need of current and future learners, Moon Library is implementing an ongoing assessment model to, among other things, help determine if the space works and to identify the right balance of spaces for a variety of users. Assessment began during Spring semester 2019 by assessing user satisfaction with the aesthetics and function of the library entryway and assessing satisfaction with environmental comfort and sustainability of the library
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