Digital Commons Network^™

Palaeoecology Of The Middle Cambrian Raymond Quarry Fauna, Burgess Shale, British Columbia, Matthew Galen Devereux

Digitized Theses

An assemblage if over 9000 systematically collected fossils from the Middle Cambrian Burgess Shale was analyzed in order to resolve the palaeoecology. Sediment and fossil evidence both show that the constituent fauna was largely autochthonous. The 'standing crop' of organisms preserved with each burial event was affected by variable taphonomic factors both laterally and temporally, but information loss appears to have been minimized. An autecological review of the trophic nucleus provides new insights with regard to behavior of the organisms, including life habits and feeding strategies. Unlike their modern representatives, priapulid worms (or at least Ottoia) appear to have …

The Renner Monoids And Cell Decompositions Of The Classical Algebraic Monoids, Zhenheng Li

Digitized Theses

The Renner monoids, cross section lattices and cell decompositions of the classical algebraic monoids are studied.

The Renner monoid is extremely important in the theory of reductive algebraic monoids. It is well know that the Renner monoid [Special characters omitted.] of M_n (K ) is the monoid of all zero-one matrices which have at most one entry equal to one in each row and column, i.e., [Special characters omitted.] consists of injective partial maps on a set of n elements. We obtain that the Renner monoids of the symplectic algebraic monoids and special orthogonal algebraic monoids turn out …