How Long to Read Automorphic Representations of Low Rank Groups

How Long Does it Take to Read Automorphic Representations of Low Rank Groups?

It takes the average reader 3 hours to read Automorphic Representations of Low Rank Groups by Yuval Z. Flicker

Assuming a reading speed of 250 words per minute. Learn more

Description

The area of automorphic representations and their local components (i.e. admissible representations) is a natural continuation of the main research of the 19th and 20th centuries studies in number theory and modular forms. A guiding principle is a reciprocity law that would relate these infinite-dimensional representations of a reductive group with finite dimensional representations of the Galois group of the number field.Simple relations on the Galois side would have deep counterpart relations on the automorphic side, called ''liftings''. These lifting relations are accessible purely on the automorphic side by using several analytic techniques. This monograph concentrates on one initial yet deep example, of the symmetric square lifting from SL(2) to PGL(3), reflecting the 3-dimensional representation of SL(2), namely its isomorphism with SO(3). It applies one technique, i.e. comparison of the trace formula with the twisted trace formula, both stabilized.All aspects of the technique are discussed in an elementary way:* The "Fundamental Lemma", relating orbital integrals of spherical functions;* Comparison of trace formulae is greatly simplified by using "regular" test functions;* The "lifting" is stated and proved by means of Harish-Chandra character relations.This permits an intrinsic definition of partition of the automorphic representations of SL(2) into packets, proving the Multiplicity One Theorem and Rigidity Theorem for SL(2), as well as determining the self-contragredient representations of PGL(3).This research monograph will benefit an audience of graduate students and researchers in the areas of number theory, algebra, and representation theory.

How long is Automorphic Representations of Low Rank Groups?

Automorphic Representations of Low Rank Groups by Yuval Z. Flicker is 180 pages long, and a total of 45,000 words.

This makes it 61% the length of the average book. It also has 55% more words than the average book.

How Long Does it Take to Read Automorphic Representations of Low Rank Groups Aloud?

The average oral reading speed is 183 words per minute. This means it takes 4 hours and 5 minutes to read Automorphic Representations of Low Rank Groups aloud.

What Reading Level is Automorphic Representations of Low Rank Groups?

Automorphic Representations of Low Rank Groups is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Automorphic Representations of Low Rank Groups?

Automorphic Representations of Low Rank Groups by Yuval Z. Flicker is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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