2,474 research outputs found
Generating functions for the universal Hall-Littlewood - and -functions
Recently, P. Pragacz described the ordinary Hall-Littlewood -polynomials
by means of push-forwards (Gysin maps) from flag bundles in the ordinary
cohomology theory. Together with L. Darondeau, he also gave push-forward
formulas (Gysin formulas) for all flag bundles of types , , and
in the ordinary cohomology theory. In this paper, we introduce a generalization
of the ordinary Hall-Littlewood - and -polynomials, which we call the
{\it universal factorial Hall-Littlewood - and -functions}, and
characterize them in terms of Gysin maps from flag bundles in the complex
cobordism theory. We also generalize the (type ) push-forward formula due to
Darondeau-Pragacz to the complex cobordism theory. As an application of our
Gysin formulas in complex cobordism, we give generating functions for the
universal Hall-Littlewood - and -functions and their factorial analogues.
Using our generating functions, classical determinantal and Pfaffian formulas
for Schur - and -polynomials, and their -theoretic or factorial
analogues can be obtained in a simple and unified manner.Comment: 46 pages, AMSLaTeX; Section 6 added, An error of the generating
function for the universal factorial Hall-Littlewood -functions was
correcte
Aspects of the phonetic and phonological structure of the G/ui language
ABSTRACT
This study describes selected aspects of the phonetic and phonological structure of the
G|ui language, a poorly documented endangered Khoe (Central Khoisan) language
spoken in Botwana. It conducts instrumental phonetic investigations, namely analyses
of palatograms, linguograms, aerodynamic recordings, sound spectrograms, spectra,
waveforms, and pitch measurements, in order to provide an objective basis for the
detailed description of phonetic features of consonants, vowels, and tones. The
description includes phonetic and phonological topics, involving consonants, vowels,
and tones, and in addition, it deals with relevant morphological phenomena, such as the
compound verb, verbal reduplication and verbal suffixes.
This research also explores some theoretical issues, such as the unitary nature of clicks
and their accompaniments, the integration of the clicks and non-clicks within a single
set of features, the correct interpretation of tonal structure. Two types of historical
sound shifts are also dealt with: namely, palatalization which is involved in the nonclick
consonant system, and the click replacement which is involved in the click
consonant system. In addition to the phonetic and phonological topics, selected
aspects of the sociolinguistic profile of this endangered language are also documented
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