A PBW commutator lemma for U_q[gl(m|n)]

We present and prove in detail a Poincare--Birkhoff--Witt commutator lemma for the quantum superalgebra U_q[gl(m|n)].Comment: 16 pages, no figure

Principal agent problems under loss aversion: an application to executive stock options

Executive stock options reward success but do not penalise failure. In contrast, the standard principalagent model implies that pay is normally monotonically increasing in performance. This paper shows that, under loss aversion, the use of carrots but not sticks is a feature of an optimal compensation contract. Low risk aversion and high loss aversion is particularly propitious to the use of options. Moreover, loss aversion on the part of executives explains the award of at the money options rather than discounted stock or bonus related pay. Other features of stock option grants are also explained, such as resetting or reloading with an exercise price equal to the current stock price

The Qualities of Qualia

This essay is a defence of the traditional notion of qualia - as properties of consciousness that are ineffable, intrinsic, private and immediately apprehensible - against the eliminative attempts of Daniel Dennett in the influential article "Quining Qualia." It is suggested that a thorough exploration of the concept is an appropriate starting point for future explanations of qualia, and the essay ends with some possible explanations of the four traditional properties

The Limits of Thought and the Mind-Body Problem

This paper gives an account of Colin McGinn's essay: "Can We Solve the Mind-Body Problem?". McGinn's answer to his own essay title is that the problem is forever beyond us due to the particular nature of our cognitive abilities.The present author offers a number of criticisms of the arguments which support this conclusion

How does diabetes cause coronary artery disease?

From the cardiologist’s viewpoint, diabetes increases the rate of development of coronary atheroma, increases the risk of a coronary thrombosis, and has a deleterious effect on the outcome of myocardial infarction. In this article the author describes the risk factors associated with diabetes and concentrate on ways which diabetes may accelerate atheroma.peer-reviewe

Automatic Evaluation of the Links-Gould Invariant for all Prime Knots of up to 10 Crossings

This paper describes a method for the automatic evaluation of the Links-Gould two-variable polynomial link invariant (LG) for any link, given only a braid presentation. This method is currently feasible for the evaluation of LG for links for which we have a braid presentation of string index at most 5. Data are presented for the invariant, for all prime knots of up to 10 crossings and various other links. LG distinguishes between these links, and also detects the chirality of those that are chiral. In this sense, it is more sensitive than the well-known two-variable HOMFLY and Kauffman polynomials. When applied to examples which defeat the HOMFLY invariant, interestingly, LG `almost' fails. The automatic method is in fact applicable to the evaluation of any such state sum invariant for which an appropriate R matrix and cap and cup matrices have been determined.Comment: 28 pages, 6 figures. Minor corrections and references added since version