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More on Representations

Mathematics document containing theorems and formulas.

Excerpt: We continue our discussion of Section IV As before a representation is a mapping of the elements of the Lie algebra into linear operators...

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Spectral Theory and Geometric Representation of Substitutions

Mathematics document containing theorems and formulas.

Excerpt: There are two categories of particularly simple dynamical systems one can find within symbolic dynamics.

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An Elementary Introduction to Groups and Representations

By: Brian C. Hall

Mathematics document containing theorems and formulas.

Excerpt: Outgrowth of a graduate course on Lie groups I taught at the University of Virginia in 1994. In trying to find a text for the course I discovered that books on Lie groups either presuppose a knowledge of differentiable manifolds or provide a mini-course on them at the beginning. Since my students did not have the necessary background on manifolds, I faced a dilemma: either use manifold techniques that my students were not familiar with, or else spend much of the...

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Combinatorial Representation Theory

By: Arun Ram

Mathematics document containing theorems and formulas.

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Pyramid Scheme

By: Dave Freer and Eric Flint

Excerpt: Prologue the new nesot (near earth space object tracking) satellite paid dividends less than three months after its launch. The computerized system spat a data stream on the incoming object to norad. It did this for any detected object which would enter the earth's atmosphere.

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A Visit from Santa Claus

Excerpt: Twas the night before Christmas, when all through the house Not a creature was stirring not even a mouse, The stockings were hung by the chimney with care in hopes that...

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A History of Animals

Excerpt: This animal has a large head, a very short neck, and prodigious long legs. He is the largest animal of the deer kind. In summer the flies bite him, and make him very uncomfortable.

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The Point of View

By: Henry James

I. FROM MISS AURORA CHURCH, AT SEA, TO MISS WHITESIDE, IN PARIS My dear child, the bromide of sodium (if that's what you call it) proved perfectly useless. I don't mean that it did me no good, but that I never had occasion to take the bottle out of my bag. It might have done wonders for me if I had needed it; but I didn't, simply because I have been a wonder myself. Will you believe that I have spent the whole voyage on deck, in the most animated conversation and exercis...

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The Pension Beaurepas

By: Henry James

I was not rich -- on the contrary; and I had been told the Pension Beaurepas was cheap. I had, moreover, been told that a boarding- house is a capital place for the study of human nature. I had a fancy for a literary career, and a friend of mine had said to me, If you mean to write you ought to go and live in a boarding-house; there is no other such place to pick up material. I had read something of this kind in a letter addressed by Stendhal to his sister: I have a pass...

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The Patagonia

By: Henry James

The houses were dark in the August night and the perspective of Beacon Street, with its double chain of lamps, was a foreshortened desert. The club on the hill alone, from its semi-cylindrical front, projected a glow upon the dusky vagueness of the Common, and as I passed it I heard in the hot stillness the click of a pair of billiard-balls. As every one was out of town perhaps the servants, in the extravagance of their leisure, were profaning the tables. The heat was in...

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The Papers

By: Henry James

There was a longish period— the dense duration of a London winter, cheered, if cheered it could be called, with lurid electric, with fierce 'incandescent' flares and glares— when they repeatedly met, at feeding-time, in a small and not quite savoury pothouse a stone's-throw from the Strand. They talked always of pothouses, of feeding-time— by which they meant any hour between one and four of the afternoon; they talked of most things, even of some of the greatest, in a ma...

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The Papers

By: Henry James

There was a longish period -- the dense duration of a London winter, cheered, if cheered it could be called, with lurid electric, with fierce 'incandescent' flares and glares -- when they repeatedly met, at feeding-time, in a small and not quite savoury pothouse a stone's-throw from the Strand. They talked always of pothouses, of feeding-time -- by which they meant any hour between one and four of the afternoon; they talked of most things, even of some of the greatest, i...

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The Middle Years

By: Henry James

The April day was soft and bright, and poor Dencombe, happy in the conceit of reasserted strength, stood in the garden of the hotel, comparing, with a deliberation in which however there was still something of languor, the attractions of easy strolls. He liked the feeling of the south so far as you could have it in the north, he liked the sandy cliffs and the clustered pines, he liked even the colourless sea. Bournemouth as a health-resort had sounded like a mere adverti...

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The Marriages

By: Henry James

Won't you stay a little longer? the hostess asked while she held the girl's hand and smiled. It's too early for every one to go -- it's too absurd. Mrs. Churchley inclined her head to one side and looked gracious; she flourished about her face, in a vaguely protecting sheltering way, an enormous fan of red feathers. Everything in her composition, for Adela Chart, was enormous. She had big eyes, big teeth, big shoulders, big hands, big rings and bracelets, big jewels of e...

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The Liar

By: Henry James

The train was half an hour late and the drive from the station longer than he had supposed, so that when he reached the house its inmates had dispersed to dress for dinner and he was conducted straight to his room. The curtains were drawn in this asylum, the candles were lighted, the fire was bright, and when the servant had quickly put out his clothes the comfortable little place became suggestive — seemed to promise a pleasant house, a various party, talks, acquaintanc...

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The Lesson of the Master

By: Henry James

He had been told the ladies were at church, but this was corrected by what he saw from the top of the steps - they descended from a great height in two arms, with a circular sweep of the most charming effect - at the threshold of the door which, from the long bright gallery, overlooked the immense lawn. Three gentlemen, on the grass, at a distance, sat under the great trees, while the fourth figure showed a crimson dress that told as a bit of colour amid the fresh rich g...

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The Jolly Corner

By: Henry James

I EVERY ONE asks me what I 'think' of everything, said Spencer Brydon; and I make answer as I can -- begging or dodging the question, putting them off with any nonsense. It wouldn't matter to any of them really, he went on, for, even were it possible to meet in that stand-and-deliver way so silly a demand on so big a subject, my 'thoughts' would still be almost altogether about something that concerns only myself. He was talking to Miss Staverton, with whom for a couple ...

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The Great Good Place

By: Henry James

George Dane had opened his eyes to a bright new day, the face of nature well washed by last night's downpour and shining as with high spirits, good resolutions, lively intentions—the great glare of recommencement in short fixed in his patch of sky. He had sat up late to finish work—arrears overwhelming, then at last had gone to bed with the pile but little reduced. He was now to return to it after the pause of the night; but he could only look at it, for the time, over t...

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The Great Condition

By: Henry James

Ah there, confound it! said Bertram Braddle when he had once more frowned, so far as he could frown, over his telegram. I must catch the train if I'm to have my morning clear in town. And it's a most abominable nuisance! Do you mean on account of — a — her? asked, after a minute's silent sympathy, the friend to whom — in the hall of the hotel, still bestrewn with the appurtenances of the newly disembarked — he had thus querulously addressed himself. He looked hard for an...

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The Golden Bowl : Volume 2

By: Henry James

It was not till many days had passed that the Princess began to accept the idea of having done, a little, something she was not always doing, or indeed that of having listened to any inward voice that spoke in a new tone. Yet these instinctive postponements of reflection were the fruit, positively, of recognitions and perceptions already active; of the sense, above all, that she had made, at a particular hour, made by the mere touch of her hand, a difference in the situa...

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