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Russians in Alaska, 1732-1867
This definitive work, the crown jewel in the distinguished career of Russian America scholar Lydia T. Black, presents a comprehensive overview of the Russian presence in Alaska. Drawing on extensive archival research and employing documents only recently made available to scholars, Black shows how Russian expansion was the culmination of centuries of social and economic change. Black s work challenges the standard perspective on the Russian period in Alaska as a time of unbridled exploitation of Native inhabitants and natural resources. Without glossing over the harsher aspects of the period, Black acknowledges the complexity of relations between Russians and Native peoples. She chronicles t...
The Journal of Midshipman Chaplin
The First Kamchatka Expedition is a classic among the voyages of discovery, being famous for the discovery of the Bering Strait between Asia and North America. Chaplin's journal holds a special place among the documents of the expedition. It is the only official document that preserves its history in detail, day by day, from the author's departure from St. Petersburg on 24 January 1725 until his return to the Russian capital on 1 March 1730. The publication includes introductory articles and commentary by leading specialists, a glossary, indexes, and maps.
Quantum Lie Theory
This is an introduction to the mathematics behind the phrase “quantum Lie algebra”. The numerous attempts over the last 15-20 years to define a quantum Lie algebra as an elegant algebraic object with a binary “quantum” Lie bracket have not been widely accepted. In this book, an alternative approach is developed that includes multivariable operations. Among the problems discussed are the following: a PBW-type theorem; quantum deformations of Kac--Moody algebras; generic and symmetric quantum Lie operations; the Nichols algebras; the Gurevich--Manin Lie algebras; and Shestakov--Umirbaev operations for the Lie theory of nonassociative products. Opening with an introduction for beginners and continuing as a textbook for graduate students in physics and mathematics, the book can also be used as a reference by more advanced readers. With the exception of the introductory chapter, the content of this monograph has not previously appeared in book form.
Modern Algebra Volume 2
From July 3 to 7, 2024, Taras Shevchenko National University of Kyiv, A.S. Makarenko Sumy State Pedagogical University, and the Institute of Mathematics of the National Academy of Sciences of Ukraine held the 14th Ukraine Algebra Conference as part of a series of biannual conferences originally initiated by V. Kirichenko, V. Sushchansky, and V. Usenko. The 14th Ukraine Algebra Conference was held online due to Russian bombings. It brought together 350 participants from nearly 40 countries and featured 150 talks. The conference proceedings consist of two volumes: Volume 1 contains papers on Representation Theory, and Volume 2 contains papers on Groups and Algebras.
A Taste of Jordan Algebras
This book describes the history of Jordan algebras and describes in full mathematical detail the recent structure theory for Jordan algebras of arbitrary dimension due to Efim Zel'manov. Jordan algebras crop up in many surprising settings, and find application to a variety of mathematical areas. No knowledge is required beyond standard first-year graduate algebra courses.
Non-Associative Algebra and Its Applications
This volume contains the proceedings of the Third International Conference on Non-Associative Algebra and Its Applications, held in Oviedo, Spain, July 12--17, 1993. The conference brought together specialists from all over the world who work in this interesting and active field, which is currently enjoying much attention. All aspects of non-associative algebra are covered. Topics range from purely mathematical subjects to a wide spectrum of applications, and from state-of-the-art articles to overview papers. This collection will point the way for further research for many years to come. The volume is of interest to researchers in mathematics as well as those whose work involves the application of non-associative algebra in such areas as physics, biology and genetics.
Groups, Rings and Group Rings
This volume represents the proceedings of the conference on Groups, Rings and Group Rings, held July 28 - August 2, 2008, in Ubatuba, Brazil. Papers in this volume contain results in active research areas in the theory of groups, group rings and algebras (including noncommutative rings), polynomial identities, Lie algebras and superalgebras. In particular, topics such as growth functions on varieties, groups of units in group rings, representation theory of Lie algebras, Jordan, alternative and Leibniz algebras, graded identities, automorphisms of trees, and partial actions, are discussed.
Distant Friends
Drawing upon more than two decades of research in secondary and documentary publications as well as archival materials from the United States, the Soviet Union, and Britain, Saul reveals a wealth of new detail about contacts between the two countries between the American Revolutionary War and the purchase of Alaska in 1867.
Russians in the Bering Strait 1648-1791
"The main body of this book are the portions of M.I. Belov's book Arkticheskoe morepla[va]nie s drevneæishikh vremen do serediny XIX veka (Arctic voyages from ancient times to the middle of the nineteenth century) that relate to the Russian discovery and exploration of this strait to 1800"--Pref.
The First Kamchatka Expedition of Vitus Bering, 1725-1730
History of Vitus Bering's search for America, 1725-1730.
